4(m-9)=7(m+2)+4

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Solution for 4(m-9)=7(m+2)+4 equation:


Simplifying
4(m + -9) = 7(m + 2) + 4

Reorder the terms:
4(-9 + m) = 7(m + 2) + 4
(-9 * 4 + m * 4) = 7(m + 2) + 4
(-36 + 4m) = 7(m + 2) + 4

Reorder the terms:
-36 + 4m = 7(2 + m) + 4
-36 + 4m = (2 * 7 + m * 7) + 4
-36 + 4m = (14 + 7m) + 4

Reorder the terms:
-36 + 4m = 14 + 4 + 7m

Combine like terms: 14 + 4 = 18
-36 + 4m = 18 + 7m

Solving
-36 + 4m = 18 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
-36 + 4m + -7m = 18 + 7m + -7m

Combine like terms: 4m + -7m = -3m
-36 + -3m = 18 + 7m + -7m

Combine like terms: 7m + -7m = 0
-36 + -3m = 18 + 0
-36 + -3m = 18

Add '36' to each side of the equation.
-36 + 36 + -3m = 18 + 36

Combine like terms: -36 + 36 = 0
0 + -3m = 18 + 36
-3m = 18 + 36

Combine like terms: 18 + 36 = 54
-3m = 54

Divide each side by '-3'.
m = -18

Simplifying
m = -18

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