12-3(p+6)-(p-2m)=

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Solution for 12-3(p+6)-(p-2m)= equation:


Simplifying
12 + -3(p + 6) + -1(p + -2m) = 0

Reorder the terms:
12 + -3(6 + p) + -1(p + -2m) = 0
12 + (6 * -3 + p * -3) + -1(p + -2m) = 0
12 + (-18 + -3p) + -1(p + -2m) = 0

Reorder the terms:
12 + -18 + -3p + -1(-2m + p) = 0
12 + -18 + -3p + (-2m * -1 + p * -1) = 0
12 + -18 + -3p + (2m + -1p) = 0

Reorder the terms:
12 + -18 + 2m + -3p + -1p = 0

Combine like terms: 12 + -18 = -6
-6 + 2m + -3p + -1p = 0

Combine like terms: -3p + -1p = -4p
-6 + 2m + -4p = 0

Solving
-6 + 2m + -4p = 0

Solving for variable 'm'.

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

Add '6' to each side of the equation.
-6 + 2m + 6 + -4p = 0 + 6

Reorder the terms:
-6 + 6 + 2m + -4p = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 2m + -4p = 0 + 6
2m + -4p = 0 + 6

Combine like terms: 0 + 6 = 6
2m + -4p = 6

Add '4p' to each side of the equation.
2m + -4p + 4p = 6 + 4p

Combine like terms: -4p + 4p = 0
2m + 0 = 6 + 4p
2m = 6 + 4p

Divide each side by '2'.
m = 3 + 2p

Simplifying
m = 3 + 2p

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