4[2(q-10)+3q-12]-3[3(q-5)-(4-q)]=17

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Solution for 4[2(q-10)+3q-12]-3[3(q-5)-(4-q)]=17 equation: 


Simplifying
4[2(q + -10) + 3q + -12] + -3[3(q + -5) + -1(4 + -1q)] = 17

Reorder the terms:
4[2(-10 + q) + 3q + -12] + -3[3(q + -5) + -1(4 + -1q)] = 17
4[(-10 * 2 + q * 2) + 3q + -12] + -3[3(q + -5) + -1(4 + -1q)] = 17
4[(-20 + 2q) + 3q + -12] + -3[3(q + -5) + -1(4 + -1q)] = 17

Reorder the terms:
4[-20 + -12 + 2q + 3q] + -3[3(q + -5) + -1(4 + -1q)] = 17

Combine like terms: -20 + -12 = -32
4[-32 + 2q + 3q] + -3[3(q + -5) + -1(4 + -1q)] = 17

Combine like terms: 2q + 3q = 5q
4[-32 + 5q] + -3[3(q + -5) + -1(4 + -1q)] = 17
[-32 * 4 + 5q * 4] + -3[3(q + -5) + -1(4 + -1q)] = 17
[-128 + 20q] + -3[3(q + -5) + -1(4 + -1q)] = 17

Reorder the terms:
-128 + 20q + -3[3(-5 + q) + -1(4 + -1q)] = 17
-128 + 20q + -3[(-5 * 3 + q * 3) + -1(4 + -1q)] = 17
-128 + 20q + -3[(-15 + 3q) + -1(4 + -1q)] = 17
-128 + 20q + -3[-15 + 3q + (4 * -1 + -1q * -1)] = 17
-128 + 20q + -3[-15 + 3q + (-4 + 1q)] = 17

Reorder the terms:
-128 + 20q + -3[-15 + -4 + 3q + 1q] = 17

Combine like terms: -15 + -4 = -19
-128 + 20q + -3[-19 + 3q + 1q] = 17

Combine like terms: 3q + 1q = 4q
-128 + 20q + -3[-19 + 4q] = 17
-128 + 20q + [-19 * -3 + 4q * -3] = 17
-128 + 20q + [57 + -12q] = 17

Reorder the terms:
-128 + 57 + 20q + -12q = 17

Combine like terms: -128 + 57 = -71
-71 + 20q + -12q = 17

Combine like terms: 20q + -12q = 8q
-71 + 8q = 17

Solving
-71 + 8q = 17

Solving for variable 'q'.

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

Add '71' to each side of the equation.
-71 + 71 + 8q = 17 + 71

Combine like terms: -71 + 71 = 0
0 + 8q = 17 + 71
8q = 17 + 71

Combine like terms: 17 + 71 = 88
8q = 88

Divide each side by '8'.
q = 11

Simplifying
q = 11

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