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Simplifying -2(2q + -4) = 10q + -20 Reorder the terms: -2(-4 + 2q) = 10q + -20 (-4 * -2 + 2q * -2) = 10q + -20 (8 + -4q) = 10q + -20 Reorder the terms: 8 + -4q = -20 + 10q Solving 8 + -4q = -20 + 10q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10q' to each side of the equation. 8 + -4q + -10q = -20 + 10q + -10q Combine like terms: -4q + -10q = -14q 8 + -14q = -20 + 10q + -10q Combine like terms: 10q + -10q = 0 8 + -14q = -20 + 0 8 + -14q = -20 Add '-8' to each side of the equation. 8 + -8 + -14q = -20 + -8 Combine like terms: 8 + -8 = 0 0 + -14q = -20 + -8 -14q = -20 + -8 Combine like terms: -20 + -8 = -28 -14q = -28 Divide each side by '-14'. q = 2 Simplifying q = 2
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