3(q-20)+2=5q-7-29

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Solution for 3(q-20)+2=5q-7-29 equation: 


Simplifying
3(q + -20) + 2 = 5q + -7 + -29

Reorder the terms:
3(-20 + q) + 2 = 5q + -7 + -29
(-20 * 3 + q * 3) + 2 = 5q + -7 + -29
(-60 + 3q) + 2 = 5q + -7 + -29

Reorder the terms:
-60 + 2 + 3q = 5q + -7 + -29

Combine like terms: -60 + 2 = -58
-58 + 3q = 5q + -7 + -29

Reorder the terms:
-58 + 3q = -7 + -29 + 5q

Combine like terms: -7 + -29 = -36
-58 + 3q = -36 + 5q

Solving
-58 + 3q = -36 + 5q

Solving for variable 'q'.

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

Add '-5q' to each side of the equation.
-58 + 3q + -5q = -36 + 5q + -5q

Combine like terms: 3q + -5q = -2q
-58 + -2q = -36 + 5q + -5q

Combine like terms: 5q + -5q = 0
-58 + -2q = -36 + 0
-58 + -2q = -36

Add '58' to each side of the equation.
-58 + 58 + -2q = -36 + 58

Combine like terms: -58 + 58 = 0
0 + -2q = -36 + 58
-2q = -36 + 58

Combine like terms: -36 + 58 = 22
-2q = 22

Divide each side by '-2'.
q = -11

Simplifying
q = -11

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