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

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


Simplifying
7(2 + -1m) = -3(m + -3)
(2 * 7 + -1m * 7) = -3(m + -3)
(14 + -7m) = -3(m + -3)

Reorder the terms:
14 + -7m = -3(-3 + m)
14 + -7m = (-3 * -3 + m * -3)
14 + -7m = (9 + -3m)

Solving
14 + -7m = 9 + -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.
14 + -7m + 3m = 9 + -3m + 3m

Combine like terms: -7m + 3m = -4m
14 + -4m = 9 + -3m + 3m

Combine like terms: -3m + 3m = 0
14 + -4m = 9 + 0
14 + -4m = 9

Add '-14' to each side of the equation.
14 + -14 + -4m = 9 + -14

Combine like terms: 14 + -14 = 0
0 + -4m = 9 + -14
-4m = 9 + -14

Combine like terms: 9 + -14 = -5
-4m = -5

Divide each side by '-4'.
m = 1.25

Simplifying
m = 1.25

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