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Simplifying 14 + -1(2q + 5q) = -2q + 9 Combine like terms: 2q + 5q = 7q 14 + -1(7q) = -2q + 9 Remove parenthesis around (7q) 14 + -1 * 7q = -2q + 9 Multiply -1 * 7 14 + -7q = -2q + 9 Reorder the terms: 14 + -7q = 9 + -2q Solving 14 + -7q = 9 + -2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2q' to each side of the equation. 14 + -7q + 2q = 9 + -2q + 2q Combine like terms: -7q + 2q = -5q 14 + -5q = 9 + -2q + 2q Combine like terms: -2q + 2q = 0 14 + -5q = 9 + 0 14 + -5q = 9 Add '-14' to each side of the equation. 14 + -14 + -5q = 9 + -14 Combine like terms: 14 + -14 = 0 0 + -5q = 9 + -14 -5q = 9 + -14 Combine like terms: 9 + -14 = -5 -5q = -5 Divide each side by '-5'. q = 1 Simplifying q = 1
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