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Simplifying -8 + -20q = -8(4q + -20) Reorder the terms: -8 + -20q = -8(-20 + 4q) -8 + -20q = (-20 * -8 + 4q * -8) -8 + -20q = (160 + -32q) Solving -8 + -20q = 160 + -32q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '32q' to each side of the equation. -8 + -20q + 32q = 160 + -32q + 32q Combine like terms: -20q + 32q = 12q -8 + 12q = 160 + -32q + 32q Combine like terms: -32q + 32q = 0 -8 + 12q = 160 + 0 -8 + 12q = 160 Add '8' to each side of the equation. -8 + 8 + 12q = 160 + 8 Combine like terms: -8 + 8 = 0 0 + 12q = 160 + 8 12q = 160 + 8 Combine like terms: 160 + 8 = 168 12q = 168 Divide each side by '12'. q = 14 Simplifying q = 14
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