-9m+27-9(m-2)=3m-(7m-6)-4m+9

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Solution for -9m+27-9(m-2)=3m-(7m-6)-4m+9 equation:


Simplifying
-9m + 27 + -9(m + -2) = 3m + -1(7m + -6) + -4m + 9

Reorder the terms:
-9m + 27 + -9(-2 + m) = 3m + -1(7m + -6) + -4m + 9
-9m + 27 + (-2 * -9 + m * -9) = 3m + -1(7m + -6) + -4m + 9
-9m + 27 + (18 + -9m) = 3m + -1(7m + -6) + -4m + 9

Reorder the terms:
27 + 18 + -9m + -9m = 3m + -1(7m + -6) + -4m + 9

Combine like terms: 27 + 18 = 45
45 + -9m + -9m = 3m + -1(7m + -6) + -4m + 9

Combine like terms: -9m + -9m = -18m
45 + -18m = 3m + -1(7m + -6) + -4m + 9

Reorder the terms:
45 + -18m = 3m + -1(-6 + 7m) + -4m + 9
45 + -18m = 3m + (-6 * -1 + 7m * -1) + -4m + 9
45 + -18m = 3m + (6 + -7m) + -4m + 9

Reorder the terms:
45 + -18m = 6 + 9 + 3m + -7m + -4m

Combine like terms: 6 + 9 = 15
45 + -18m = 15 + 3m + -7m + -4m

Combine like terms: 3m + -7m = -4m
45 + -18m = 15 + -4m + -4m

Combine like terms: -4m + -4m = -8m
45 + -18m = 15 + -8m

Solving
45 + -18m = 15 + -8m

Solving for variable 'm'.

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

Add '8m' to each side of the equation.
45 + -18m + 8m = 15 + -8m + 8m

Combine like terms: -18m + 8m = -10m
45 + -10m = 15 + -8m + 8m

Combine like terms: -8m + 8m = 0
45 + -10m = 15 + 0
45 + -10m = 15

Add '-45' to each side of the equation.
45 + -45 + -10m = 15 + -45

Combine like terms: 45 + -45 = 0
0 + -10m = 15 + -45
-10m = 15 + -45

Combine like terms: 15 + -45 = -30
-10m = -30

Divide each side by '-10'.
m = 3

Simplifying
m = 3

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