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Simplifying 5(q + -6) = 7q + -26 Reorder the terms: 5(-6 + q) = 7q + -26 (-6 * 5 + q * 5) = 7q + -26 (-30 + 5q) = 7q + -26 Reorder the terms: -30 + 5q = -26 + 7q Solving -30 + 5q = -26 + 7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7q' to each side of the equation. -30 + 5q + -7q = -26 + 7q + -7q Combine like terms: 5q + -7q = -2q -30 + -2q = -26 + 7q + -7q Combine like terms: 7q + -7q = 0 -30 + -2q = -26 + 0 -30 + -2q = -26 Add '30' to each side of the equation. -30 + 30 + -2q = -26 + 30 Combine like terms: -30 + 30 = 0 0 + -2q = -26 + 30 -2q = -26 + 30 Combine like terms: -26 + 30 = 4 -2q = 4 Divide each side by '-2'. q = -2 Simplifying q = -2
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