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Simplifying -15q + 9 + 3q + 8 = 11 + -1q + -3q Reorder the terms: 9 + 8 + -15q + 3q = 11 + -1q + -3q Combine like terms: 9 + 8 = 17 17 + -15q + 3q = 11 + -1q + -3q Combine like terms: -15q + 3q = -12q 17 + -12q = 11 + -1q + -3q Combine like terms: -1q + -3q = -4q 17 + -12q = 11 + -4q Solving 17 + -12q = 11 + -4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4q' to each side of the equation. 17 + -12q + 4q = 11 + -4q + 4q Combine like terms: -12q + 4q = -8q 17 + -8q = 11 + -4q + 4q Combine like terms: -4q + 4q = 0 17 + -8q = 11 + 0 17 + -8q = 11 Add '-17' to each side of the equation. 17 + -17 + -8q = 11 + -17 Combine like terms: 17 + -17 = 0 0 + -8q = 11 + -17 -8q = 11 + -17 Combine like terms: 11 + -17 = -6 -8q = -6 Divide each side by '-8'. q = 0.75 Simplifying q = 0.75
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