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Simplifying 2(4q + -5) = 10q Reorder the terms: 2(-5 + 4q) = 10q (-5 * 2 + 4q * 2) = 10q (-10 + 8q) = 10q Solving -10 + 8q = 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. -10 + 8q + -10q = 10q + -10q Combine like terms: 8q + -10q = -2q -10 + -2q = 10q + -10q Combine like terms: 10q + -10q = 0 -10 + -2q = 0 Add '10' to each side of the equation. -10 + 10 + -2q = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -2q = 0 + 10 -2q = 0 + 10 Combine like terms: 0 + 10 = 10 -2q = 10 Divide each side by '-2'. q = -5 Simplifying q = -5
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