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Simplifying 8 = 2(q + -3) Reorder the terms: 8 = 2(-3 + q) 8 = (-3 * 2 + q * 2) 8 = (-6 + 2q) Solving 8 = -6 + 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. 8 + -2q = -6 + 2q + -2q Combine like terms: 2q + -2q = 0 8 + -2q = -6 + 0 8 + -2q = -6 Add '-8' to each side of the equation. 8 + -8 + -2q = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -2q = -6 + -8 -2q = -6 + -8 Combine like terms: -6 + -8 = -14 -2q = -14 Divide each side by '-2'. q = 7 Simplifying q = 7
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