7(m-9)-3(15m-4)=21

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Solution for 7(m-9)-3(15m-4)=21 equation:


Simplifying
7(m + -9) + -3(15m + -4) = 21

Reorder the terms:
7(-9 + m) + -3(15m + -4) = 21
(-9 * 7 + m * 7) + -3(15m + -4) = 21
(-63 + 7m) + -3(15m + -4) = 21

Reorder the terms:
-63 + 7m + -3(-4 + 15m) = 21
-63 + 7m + (-4 * -3 + 15m * -3) = 21
-63 + 7m + (12 + -45m) = 21

Reorder the terms:
-63 + 12 + 7m + -45m = 21

Combine like terms: -63 + 12 = -51
-51 + 7m + -45m = 21

Combine like terms: 7m + -45m = -38m
-51 + -38m = 21

Solving
-51 + -38m = 21

Solving for variable 'm'.

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

Add '51' to each side of the equation.
-51 + 51 + -38m = 21 + 51

Combine like terms: -51 + 51 = 0
0 + -38m = 21 + 51
-38m = 21 + 51

Combine like terms: 21 + 51 = 72
-38m = 72

Divide each side by '-38'.
m = -1.894736842

Simplifying
m = -1.894736842

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