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Simplifying 4 = 2(q + -5) Reorder the terms: 4 = 2(-5 + q) 4 = (-5 * 2 + q * 2) 4 = (-10 + 2q) Solving 4 = -10 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. 4 + -2q = -10 + 2q + -2q Combine like terms: 2q + -2q = 0 4 + -2q = -10 + 0 4 + -2q = -10 Add '-4' to each side of the equation. 4 + -4 + -2q = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -2q = -10 + -4 -2q = -10 + -4 Combine like terms: -10 + -4 = -14 -2q = -14 Divide each side by '-2'. q = 7 Simplifying q = 7
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