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Simplifying q + -3 = 2(q + -4) Reorder the terms: -3 + q = 2(q + -4) Reorder the terms: -3 + q = 2(-4 + q) -3 + q = (-4 * 2 + q * 2) -3 + q = (-8 + 2q) Solving -3 + q = -8 + 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. -3 + q + -2q = -8 + 2q + -2q Combine like terms: q + -2q = -1q -3 + -1q = -8 + 2q + -2q Combine like terms: 2q + -2q = 0 -3 + -1q = -8 + 0 -3 + -1q = -8 Add '3' to each side of the equation. -3 + 3 + -1q = -8 + 3 Combine like terms: -3 + 3 = 0 0 + -1q = -8 + 3 -1q = -8 + 3 Combine like terms: -8 + 3 = -5 -1q = -5 Divide each side by '-1'. q = 5 Simplifying q = 5
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