Question

5(9t-3(2t-4))+12=4(t+29​

Answer 1

Ответ: откроем скобки 5*(9*t-6*t+12)+12)=4*t+116 или 15*t+72=4*t+116 или 11*t=44 или t=4.

Пошаговое объяснение:

Answer 2

To solve the equation, we need to simplify the expressions on both sides of the equation and then solve for the value of 't'. Let's start by simplifying the left-hand side (LHS) and right-hand side (RHS) separately:

LHS: 5(9t - 3(2t - 4)) + 12

Step 1: Distribute the 5 on the terms inside the parentheses: LHS = 5 * 9t - 5 * 3(2t) + 5 * 3(4) + 12

Step 2: Simplify the terms: LHS = 45t - 30t + 60 + 12 LHS = 15t + 72

RHS: 4(t + 29)

Step 3: Distribute the 4 on the term inside the parentheses: RHS = 4 * t + 4 * 29

Step 4: Simplify the terms: RHS = 4t + 116

Now, the equation becomes:

15t + 72 = 4t + 116

Now, we'll isolate 't' on one side of the equation. Let's get all the terms containing 't' on one side and the constant terms on the other side:

Subtract 4t from both sides: 15t + 72 - 4t = 4t + 116 - 4t

This simplifies to: 11t + 72 = 116

Now, subtract 72 from both sides to isolate 't': 11t + 72 - 72 = 116 - 72

This simplifies to: 11t = 44

Finally, divide both sides by 11 to solve for 't': t = 44 / 11 t = 4

So, the value of 't' that satisfies the equation is t = 4.