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Simplifying 8(q + -11) + 20 = 12q Reorder the terms: 8(-11 + q) + 20 = 12q (-11 * 8 + q * 8) + 20 = 12q (-88 + 8q) + 20 = 12q Reorder the terms: -88 + 20 + 8q = 12q Combine like terms: -88 + 20 = -68 -68 + 8q = 12q Solving -68 + 8q = 12q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12q' to each side of the equation. -68 + 8q + -12q = 12q + -12q Combine like terms: 8q + -12q = -4q -68 + -4q = 12q + -12q Combine like terms: 12q + -12q = 0 -68 + -4q = 0 Add '68' to each side of the equation. -68 + 68 + -4q = 0 + 68 Combine like terms: -68 + 68 = 0 0 + -4q = 0 + 68 -4q = 0 + 68 Combine like terms: 0 + 68 = 68 -4q = 68 Divide each side by '-4'. q = -17 Simplifying q = -17
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