6(3m+8)=7m+15

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Solution for 6(3m+8)=7m+15 equation:


Simplifying
6(3m + 8) = 7m + 15

Reorder the terms:
6(8 + 3m) = 7m + 15
(8 * 6 + 3m * 6) = 7m + 15
(48 + 18m) = 7m + 15

Reorder the terms:
48 + 18m = 15 + 7m

Solving
48 + 18m = 15 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
48 + 18m + -7m = 15 + 7m + -7m

Combine like terms: 18m + -7m = 11m
48 + 11m = 15 + 7m + -7m

Combine like terms: 7m + -7m = 0
48 + 11m = 15 + 0
48 + 11m = 15

Add '-48' to each side of the equation.
48 + -48 + 11m = 15 + -48

Combine like terms: 48 + -48 = 0
0 + 11m = 15 + -48
11m = 15 + -48

Combine like terms: 15 + -48 = -33
11m = -33

Divide each side by '11'.
m = -3

Simplifying
m = -3

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