4(m-7)=3(m-2)

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Solution for 4(m-7)=3(m-2) equation:


Simplifying
4(m + -7) = 3(m + -2)

Reorder the terms:
4(-7 + m) = 3(m + -2)
(-7 * 4 + m * 4) = 3(m + -2)
(-28 + 4m) = 3(m + -2)

Reorder the terms:
-28 + 4m = 3(-2 + m)
-28 + 4m = (-2 * 3 + m * 3)
-28 + 4m = (-6 + 3m)

Solving
-28 + 4m = -6 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
-28 + 4m + -3m = -6 + 3m + -3m

Combine like terms: 4m + -3m = 1m
-28 + 1m = -6 + 3m + -3m

Combine like terms: 3m + -3m = 0
-28 + 1m = -6 + 0
-28 + 1m = -6

Add '28' to each side of the equation.
-28 + 28 + 1m = -6 + 28

Combine like terms: -28 + 28 = 0
0 + 1m = -6 + 28
1m = -6 + 28

Combine like terms: -6 + 28 = 22
1m = 22

Divide each side by '1'.
m = 22

Simplifying
m = 22

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