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Simplifying 15q + -3(49 + -6) = 3q + 9 + -9q Combine like terms: 49 + -6 = 43 15q + -3(43) = 3q + 9 + -9q Multiply -3 * 43 15q + -129 = 3q + 9 + -9q Reorder the terms: -129 + 15q = 3q + 9 + -9q Reorder the terms: -129 + 15q = 9 + 3q + -9q Combine like terms: 3q + -9q = -6q -129 + 15q = 9 + -6q Solving -129 + 15q = 9 + -6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '6q' to each side of the equation. -129 + 15q + 6q = 9 + -6q + 6q Combine like terms: 15q + 6q = 21q -129 + 21q = 9 + -6q + 6q Combine like terms: -6q + 6q = 0 -129 + 21q = 9 + 0 -129 + 21q = 9 Add '129' to each side of the equation. -129 + 129 + 21q = 9 + 129 Combine like terms: -129 + 129 = 0 0 + 21q = 9 + 129 21q = 9 + 129 Combine like terms: 9 + 129 = 138 21q = 138 Divide each side by '21'. q = 6.571428571 Simplifying q = 6.571428571
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