3(m-3)-4=4(m-7)

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Solution for 3(m-3)-4=4(m-7) equation:


Simplifying
3(m + -3) + -4 = 4(m + -7)

Reorder the terms:
3(-3 + m) + -4 = 4(m + -7)
(-3 * 3 + m * 3) + -4 = 4(m + -7)
(-9 + 3m) + -4 = 4(m + -7)

Reorder the terms:
-9 + -4 + 3m = 4(m + -7)

Combine like terms: -9 + -4 = -13
-13 + 3m = 4(m + -7)

Reorder the terms:
-13 + 3m = 4(-7 + m)
-13 + 3m = (-7 * 4 + m * 4)
-13 + 3m = (-28 + 4m)

Solving
-13 + 3m = -28 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
-13 + 3m + -4m = -28 + 4m + -4m

Combine like terms: 3m + -4m = -1m
-13 + -1m = -28 + 4m + -4m

Combine like terms: 4m + -4m = 0
-13 + -1m = -28 + 0
-13 + -1m = -28

Add '13' to each side of the equation.
-13 + 13 + -1m = -28 + 13

Combine like terms: -13 + 13 = 0
0 + -1m = -28 + 13
-1m = -28 + 13

Combine like terms: -28 + 13 = -15
-1m = -15

Divide each side by '-1'.
m = 15

Simplifying
m = 15

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