12(2m-6)-(m-5)=-18

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Solution for 12(2m-6)-(m-5)=-18 equation:


Simplifying
12(2m + -6) + -1(m + -5) = -18

Reorder the terms:
12(-6 + 2m) + -1(m + -5) = -18
(-6 * 12 + 2m * 12) + -1(m + -5) = -18
(-72 + 24m) + -1(m + -5) = -18

Reorder the terms:
-72 + 24m + -1(-5 + m) = -18
-72 + 24m + (-5 * -1 + m * -1) = -18
-72 + 24m + (5 + -1m) = -18

Reorder the terms:
-72 + 5 + 24m + -1m = -18

Combine like terms: -72 + 5 = -67
-67 + 24m + -1m = -18

Combine like terms: 24m + -1m = 23m
-67 + 23m = -18

Solving
-67 + 23m = -18

Solving for variable 'm'.

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

Add '67' to each side of the equation.
-67 + 67 + 23m = -18 + 67

Combine like terms: -67 + 67 = 0
0 + 23m = -18 + 67
23m = -18 + 67

Combine like terms: -18 + 67 = 49
23m = 49

Divide each side by '23'.
m = 2.130434783

Simplifying
m = 2.130434783

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