-6(m-5)+7(7m-3)=9

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Solution for -6(m-5)+7(7m-3)=9 equation:


Simplifying
-6(m + -5) + 7(7m + -3) = 9

Reorder the terms:
-6(-5 + m) + 7(7m + -3) = 9
(-5 * -6 + m * -6) + 7(7m + -3) = 9
(30 + -6m) + 7(7m + -3) = 9

Reorder the terms:
30 + -6m + 7(-3 + 7m) = 9
30 + -6m + (-3 * 7 + 7m * 7) = 9
30 + -6m + (-21 + 49m) = 9

Reorder the terms:
30 + -21 + -6m + 49m = 9

Combine like terms: 30 + -21 = 9
9 + -6m + 49m = 9

Combine like terms: -6m + 49m = 43m
9 + 43m = 9

Add '-9' to each side of the equation.
9 + -9 + 43m = 9 + -9

Combine like terms: 9 + -9 = 0
0 + 43m = 9 + -9
43m = 9 + -9

Combine like terms: 9 + -9 = 0
43m = 0

Solving
43m = 0

Solving for variable 'm'.

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

Divide each side by '43'.
m = 0

Simplifying
m = 0

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