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Simplifying (4q + -18) + (7q + -87) = 180 Reorder the terms: (-18 + 4q) + (7q + -87) = 180 Remove parenthesis around (-18 + 4q) -18 + 4q + (7q + -87) = 180 Reorder the terms: -18 + 4q + (-87 + 7q) = 180 Remove parenthesis around (-87 + 7q) -18 + 4q + -87 + 7q = 180 Reorder the terms: -18 + -87 + 4q + 7q = 180 Combine like terms: -18 + -87 = -105 -105 + 4q + 7q = 180 Combine like terms: 4q + 7q = 11q -105 + 11q = 180 Solving -105 + 11q = 180 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '105' to each side of the equation. -105 + 105 + 11q = 180 + 105 Combine like terms: -105 + 105 = 0 0 + 11q = 180 + 105 11q = 180 + 105 Combine like terms: 180 + 105 = 285 11q = 285 Divide each side by '11'. q = 25.90909091 Simplifying q = 25.90909091
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