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Simplifying 5 + 2(q + -5) = 3(q + -2) Reorder the terms: 5 + 2(-5 + q) = 3(q + -2) 5 + (-5 * 2 + q * 2) = 3(q + -2) 5 + (-10 + 2q) = 3(q + -2) Combine like terms: 5 + -10 = -5 -5 + 2q = 3(q + -2) Reorder the terms: -5 + 2q = 3(-2 + q) -5 + 2q = (-2 * 3 + q * 3) -5 + 2q = (-6 + 3q) Solving -5 + 2q = -6 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. -5 + 2q + -3q = -6 + 3q + -3q Combine like terms: 2q + -3q = -1q -5 + -1q = -6 + 3q + -3q Combine like terms: 3q + -3q = 0 -5 + -1q = -6 + 0 -5 + -1q = -6 Add '5' to each side of the equation. -5 + 5 + -1q = -6 + 5 Combine like terms: -5 + 5 = 0 0 + -1q = -6 + 5 -1q = -6 + 5 Combine like terms: -6 + 5 = -1 -1q = -1 Divide each side by '-1'. q = 1 Simplifying q = 1
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