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Simplifying 8(-4q + -12) + 12 = -20q Reorder the terms: 8(-12 + -4q) + 12 = -20q (-12 * 8 + -4q * 8) + 12 = -20q (-96 + -32q) + 12 = -20q Reorder the terms: -96 + 12 + -32q = -20q Combine like terms: -96 + 12 = -84 -84 + -32q = -20q Solving -84 + -32q = -20q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '20q' to each side of the equation. -84 + -32q + 20q = -20q + 20q Combine like terms: -32q + 20q = -12q -84 + -12q = -20q + 20q Combine like terms: -20q + 20q = 0 -84 + -12q = 0 Add '84' to each side of the equation. -84 + 84 + -12q = 0 + 84 Combine like terms: -84 + 84 = 0 0 + -12q = 0 + 84 -12q = 0 + 84 Combine like terms: 0 + 84 = 84 -12q = 84 Divide each side by '-12'. q = -7 Simplifying q = -7
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