7.65+7m=-6.9+4.5(m+7.4)

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Solution for 7.65+7m=-6.9+4.5(m+7.4) equation: 


Simplifying
7.65 + 7m = -6.9 + 4.5(m + 7.4)

Reorder the terms:
7.65 + 7m = -6.9 + 4.5(7.4 + m)
7.65 + 7m = -6.9 + (7.4 * 4.5 + m * 4.5)
7.65 + 7m = -6.9 + (33.3 + 4.5m)

Combine like terms: -6.9 + 33.3 = 26.4
7.65 + 7m = 26.4 + 4.5m

Solving
7.65 + 7m = 26.4 + 4.5m

Solving for variable 'm'.

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

Add '-4.5m' to each side of the equation.
7.65 + 7m + -4.5m = 26.4 + 4.5m + -4.5m

Combine like terms: 7m + -4.5m = 2.5m
7.65 + 2.5m = 26.4 + 4.5m + -4.5m

Combine like terms: 4.5m + -4.5m = 0.0
7.65 + 2.5m = 26.4 + 0.0
7.65 + 2.5m = 26.4

Add '-7.65' to each side of the equation.
7.65 + -7.65 + 2.5m = 26.4 + -7.65

Combine like terms: 7.65 + -7.65 = 0.00
0.00 + 2.5m = 26.4 + -7.65
2.5m = 26.4 + -7.65

Combine like terms: 26.4 + -7.65 = 18.75
2.5m = 18.75

Divide each side by '2.5'.
m = 7.5

Simplifying
m = 7.5

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