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Simplifying -2(q + 8) = 10q Reorder the terms: -2(8 + q) = 10q (8 * -2 + q * -2) = 10q (-16 + -2q) = 10q Solving -16 + -2q = 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. -16 + -2q + -10q = 10q + -10q Combine like terms: -2q + -10q = -12q -16 + -12q = 10q + -10q Combine like terms: 10q + -10q = 0 -16 + -12q = 0 Add '16' to each side of the equation. -16 + 16 + -12q = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -12q = 0 + 16 -12q = 0 + 16 Combine like terms: 0 + 16 = 16 -12q = 16 Divide each side by '-12'. q = -1.333333333 Simplifying q = -1.333333333
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