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Simplifying 5(2q + 4) = 2(4q + -6) Reorder the terms: 5(4 + 2q) = 2(4q + -6) (4 * 5 + 2q * 5) = 2(4q + -6) (20 + 10q) = 2(4q + -6) Reorder the terms: 20 + 10q = 2(-6 + 4q) 20 + 10q = (-6 * 2 + 4q * 2) 20 + 10q = (-12 + 8q) Solving 20 + 10q = -12 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. 20 + 10q + -8q = -12 + 8q + -8q Combine like terms: 10q + -8q = 2q 20 + 2q = -12 + 8q + -8q Combine like terms: 8q + -8q = 0 20 + 2q = -12 + 0 20 + 2q = -12 Add '-20' to each side of the equation. 20 + -20 + 2q = -12 + -20 Combine like terms: 20 + -20 = 0 0 + 2q = -12 + -20 2q = -12 + -20 Combine like terms: -12 + -20 = -32 2q = -32 Divide each side by '2'. q = -16 Simplifying q = -16
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