5(m-2)-4(m+1)=14

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Solution for 5(m-2)-4(m+1)=14 equation:


Simplifying
5(m + -2) + -4(m + 1) = 14

Reorder the terms:
5(-2 + m) + -4(m + 1) = 14
(-2 * 5 + m * 5) + -4(m + 1) = 14
(-10 + 5m) + -4(m + 1) = 14

Reorder the terms:
-10 + 5m + -4(1 + m) = 14
-10 + 5m + (1 * -4 + m * -4) = 14
-10 + 5m + (-4 + -4m) = 14

Reorder the terms:
-10 + -4 + 5m + -4m = 14

Combine like terms: -10 + -4 = -14
-14 + 5m + -4m = 14

Combine like terms: 5m + -4m = 1m
-14 + 1m = 14

Solving
-14 + 1m = 14

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '14' to each side of the equation.
-14 + 14 + 1m = 14 + 14

Combine like terms: -14 + 14 = 0
0 + 1m = 14 + 14
1m = 14 + 14

Combine like terms: 14 + 14 = 28
1m = 28

Divide each side by '1'.
m = 28

Simplifying
m = 28

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