-5(m+8)-3(9m+4)=-33(m+2)+6

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Solution for -5(m+8)-3(9m+4)=-33(m+2)+6 equation:


Simplifying
-5(m + 8) + -3(9m + 4) = -33(m + 2) + 6

Reorder the terms:
-5(8 + m) + -3(9m + 4) = -33(m + 2) + 6
(8 * -5 + m * -5) + -3(9m + 4) = -33(m + 2) + 6
(-40 + -5m) + -3(9m + 4) = -33(m + 2) + 6

Reorder the terms:
-40 + -5m + -3(4 + 9m) = -33(m + 2) + 6
-40 + -5m + (4 * -3 + 9m * -3) = -33(m + 2) + 6
-40 + -5m + (-12 + -27m) = -33(m + 2) + 6

Reorder the terms:
-40 + -12 + -5m + -27m = -33(m + 2) + 6

Combine like terms: -40 + -12 = -52
-52 + -5m + -27m = -33(m + 2) + 6

Combine like terms: -5m + -27m = -32m
-52 + -32m = -33(m + 2) + 6

Reorder the terms:
-52 + -32m = -33(2 + m) + 6
-52 + -32m = (2 * -33 + m * -33) + 6
-52 + -32m = (-66 + -33m) + 6

Reorder the terms:
-52 + -32m = -66 + 6 + -33m

Combine like terms: -66 + 6 = -60
-52 + -32m = -60 + -33m

Solving
-52 + -32m = -60 + -33m

Solving for variable 'm'.

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

Add '33m' to each side of the equation.
-52 + -32m + 33m = -60 + -33m + 33m

Combine like terms: -32m + 33m = 1m
-52 + 1m = -60 + -33m + 33m

Combine like terms: -33m + 33m = 0
-52 + 1m = -60 + 0
-52 + 1m = -60

Add '52' to each side of the equation.
-52 + 52 + 1m = -60 + 52

Combine like terms: -52 + 52 = 0
0 + 1m = -60 + 52
1m = -60 + 52

Combine like terms: -60 + 52 = -8
1m = -8

Divide each side by '1'.
m = -8

Simplifying
m = -8

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