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Simplifying -7(q + -4) = 3(q + 10) Reorder the terms: -7(-4 + q) = 3(q + 10) (-4 * -7 + q * -7) = 3(q + 10) (28 + -7q) = 3(q + 10) Reorder the terms: 28 + -7q = 3(10 + q) 28 + -7q = (10 * 3 + q * 3) 28 + -7q = (30 + 3q) Solving 28 + -7q = 30 + 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. 28 + -7q + -3q = 30 + 3q + -3q Combine like terms: -7q + -3q = -10q 28 + -10q = 30 + 3q + -3q Combine like terms: 3q + -3q = 0 28 + -10q = 30 + 0 28 + -10q = 30 Add '-28' to each side of the equation. 28 + -28 + -10q = 30 + -28 Combine like terms: 28 + -28 = 0 0 + -10q = 30 + -28 -10q = 30 + -28 Combine like terms: 30 + -28 = 2 -10q = 2 Divide each side by '-10'. q = -0.2 Simplifying q = -0.2
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