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Simplifying -17q + -16 + -15q = -8(7q + -10) Reorder the terms: -16 + -17q + -15q = -8(7q + -10) Combine like terms: -17q + -15q = -32q -16 + -32q = -8(7q + -10) Reorder the terms: -16 + -32q = -8(-10 + 7q) -16 + -32q = (-10 * -8 + 7q * -8) -16 + -32q = (80 + -56q) Solving -16 + -32q = 80 + -56q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '56q' to each side of the equation. -16 + -32q + 56q = 80 + -56q + 56q Combine like terms: -32q + 56q = 24q -16 + 24q = 80 + -56q + 56q Combine like terms: -56q + 56q = 0 -16 + 24q = 80 + 0 -16 + 24q = 80 Add '16' to each side of the equation. -16 + 16 + 24q = 80 + 16 Combine like terms: -16 + 16 = 0 0 + 24q = 80 + 16 24q = 80 + 16 Combine like terms: 80 + 16 = 96 24q = 96 Divide each side by '24'. q = 4 Simplifying q = 4
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