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Simplifying 7(q + -2) = -3(q + 5) Reorder the terms: 7(-2 + q) = -3(q + 5) (-2 * 7 + q * 7) = -3(q + 5) (-14 + 7q) = -3(q + 5) Reorder the terms: -14 + 7q = -3(5 + q) -14 + 7q = (5 * -3 + q * -3) -14 + 7q = (-15 + -3q) Solving -14 + 7q = -15 + -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. -14 + 7q + 3q = -15 + -3q + 3q Combine like terms: 7q + 3q = 10q -14 + 10q = -15 + -3q + 3q Combine like terms: -3q + 3q = 0 -14 + 10q = -15 + 0 -14 + 10q = -15 Add '14' to each side of the equation. -14 + 14 + 10q = -15 + 14 Combine like terms: -14 + 14 = 0 0 + 10q = -15 + 14 10q = -15 + 14 Combine like terms: -15 + 14 = -1 10q = -1 Divide each side by '10'. q = -0.1 Simplifying q = -0.1
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