10(m+3)=3(m-11)

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Solution for 10(m+3)=3(m-11) equation:


Simplifying
10(m + 3) = 3(m + -11)

Reorder the terms:
10(3 + m) = 3(m + -11)
(3 * 10 + m * 10) = 3(m + -11)
(30 + 10m) = 3(m + -11)

Reorder the terms:
30 + 10m = 3(-11 + m)
30 + 10m = (-11 * 3 + m * 3)
30 + 10m = (-33 + 3m)

Solving
30 + 10m = -33 + 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.
30 + 10m + -3m = -33 + 3m + -3m

Combine like terms: 10m + -3m = 7m
30 + 7m = -33 + 3m + -3m

Combine like terms: 3m + -3m = 0
30 + 7m = -33 + 0
30 + 7m = -33

Add '-30' to each side of the equation.
30 + -30 + 7m = -33 + -30

Combine like terms: 30 + -30 = 0
0 + 7m = -33 + -30
7m = -33 + -30

Combine like terms: -33 + -30 = -63
7m = -63

Divide each side by '7'.
m = -9

Simplifying
m = -9

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