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Simplifying q + -7 = 5(q + -3) Reorder the terms: -7 + q = 5(q + -3) Reorder the terms: -7 + q = 5(-3 + q) -7 + q = (-3 * 5 + q * 5) -7 + q = (-15 + 5q) Solving -7 + q = -15 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. -7 + q + -5q = -15 + 5q + -5q Combine like terms: q + -5q = -4q -7 + -4q = -15 + 5q + -5q Combine like terms: 5q + -5q = 0 -7 + -4q = -15 + 0 -7 + -4q = -15 Add '7' to each side of the equation. -7 + 7 + -4q = -15 + 7 Combine like terms: -7 + 7 = 0 0 + -4q = -15 + 7 -4q = -15 + 7 Combine like terms: -15 + 7 = -8 -4q = -8 Divide each side by '-4'. q = 2 Simplifying q = 2
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