Question

4(3m - n) - 3(4m + 2n)

Answer 1

4(3m - n) - 3(4m + 2n)=12m-4n-12m-6n=-10n

Answer 2

4(3m-n)-3(4m+2n)=12m-4n-12m-6n=-10n

Answer 3

To simplify the given expression, you can follow the distributive property of multiplication over addition and subtraction. Here's the step-by-step solution:

Given expression: 4(3m - n) - 3(4m + 2n)

Step 1: Distribute the numbers outside the parentheses to the terms inside the parentheses.

4 * 3m = 12m 4 * (-n) = -4n

(-3) * 4m = -12m (-3) * 2n = -6n

Step 2: Now, rewrite the expression after distributing:

12m - 4n - 12m - 6n

Step 3: Combine like terms (terms with the same variables raised to the same powers):

(12m - 12m) + (-4n - 6n)

Step 4: Simplify the expression:

0m - 10n

Step 5: Since any number multiplied by zero is zero, the first term becomes zero:

0 - 10n

Step 6: The final simplified expression is:

-10n