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Simplifying 4q + -1(9q + 14) = 8 + -1(15q + -7) Reorder the terms: 4q + -1(14 + 9q) = 8 + -1(15q + -7) 4q + (14 * -1 + 9q * -1) = 8 + -1(15q + -7) 4q + (-14 + -9q) = 8 + -1(15q + -7) Reorder the terms: -14 + 4q + -9q = 8 + -1(15q + -7) Combine like terms: 4q + -9q = -5q -14 + -5q = 8 + -1(15q + -7) Reorder the terms: -14 + -5q = 8 + -1(-7 + 15q) -14 + -5q = 8 + (-7 * -1 + 15q * -1) -14 + -5q = 8 + (7 + -15q) Combine like terms: 8 + 7 = 15 -14 + -5q = 15 + -15q Solving -14 + -5q = 15 + -15q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '15q' to each side of the equation. -14 + -5q + 15q = 15 + -15q + 15q Combine like terms: -5q + 15q = 10q -14 + 10q = 15 + -15q + 15q Combine like terms: -15q + 15q = 0 -14 + 10q = 15 + 0 -14 + 10q = 15 Add '14' to each side of the equation. -14 + 14 + 10q = 15 + 14 Combine like terms: -14 + 14 = 0 0 + 10q = 15 + 14 10q = 15 + 14 Combine like terms: 15 + 14 = 29 10q = 29 Divide each side by '10'. q = 2.9 Simplifying q = 2.9
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