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Simplifying 1 = 2(q + -5) + -1 Reorder the terms: 1 = 2(-5 + q) + -1 1 = (-5 * 2 + q * 2) + -1 1 = (-10 + 2q) + -1 Reorder the terms: 1 = -10 + -1 + 2q Combine like terms: -10 + -1 = -11 1 = -11 + 2q Solving 1 = -11 + 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. 1 + -2q = -11 + 2q + -2q Combine like terms: 2q + -2q = 0 1 + -2q = -11 + 0 1 + -2q = -11 Add '-1' to each side of the equation. 1 + -1 + -2q = -11 + -1 Combine like terms: 1 + -1 = 0 0 + -2q = -11 + -1 -2q = -11 + -1 Combine like terms: -11 + -1 = -12 -2q = -12 Divide each side by '-2'. q = 6 Simplifying q = 6
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