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Simplifying -3q + -5q + 10 = -6 + 7q Reorder the terms: 10 + -3q + -5q = -6 + 7q Combine like terms: -3q + -5q = -8q 10 + -8q = -6 + 7q Solving 10 + -8q = -6 + 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. 10 + -8q + -7q = -6 + 7q + -7q Combine like terms: -8q + -7q = -15q 10 + -15q = -6 + 7q + -7q Combine like terms: 7q + -7q = 0 10 + -15q = -6 + 0 10 + -15q = -6 Add '-10' to each side of the equation. 10 + -10 + -15q = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -15q = -6 + -10 -15q = -6 + -10 Combine like terms: -6 + -10 = -16 -15q = -16 Divide each side by '-15'. q = 1.066666667 Simplifying q = 1.066666667
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