7(m-3)=20-2(m-3)

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Solution for 7(m-3)=20-2(m-3) equation:


Simplifying
7(m + -3) = 20 + -2(m + -3)

Reorder the terms:
7(-3 + m) = 20 + -2(m + -3)
(-3 * 7 + m * 7) = 20 + -2(m + -3)
(-21 + 7m) = 20 + -2(m + -3)

Reorder the terms:
-21 + 7m = 20 + -2(-3 + m)
-21 + 7m = 20 + (-3 * -2 + m * -2)
-21 + 7m = 20 + (6 + -2m)

Combine like terms: 20 + 6 = 26
-21 + 7m = 26 + -2m

Solving
-21 + 7m = 26 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
-21 + 7m + 2m = 26 + -2m + 2m

Combine like terms: 7m + 2m = 9m
-21 + 9m = 26 + -2m + 2m

Combine like terms: -2m + 2m = 0
-21 + 9m = 26 + 0
-21 + 9m = 26

Add '21' to each side of the equation.
-21 + 21 + 9m = 26 + 21

Combine like terms: -21 + 21 = 0
0 + 9m = 26 + 21
9m = 26 + 21

Combine like terms: 26 + 21 = 47
9m = 47

Divide each side by '9'.
m = 5.222222222

Simplifying
m = 5.222222222

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