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Simplifying 8(10 + -6q) + 3(-7 + -2) = 0 (10 * 8 + -6q * 8) + 3(-7 + -2) = 0 (80 + -48q) + 3(-7 + -2) = 0 Combine like terms: -7 + -2 = -9 80 + -48q + 3(-9) = 0 Multiply 3 * -9 80 + -48q + -27 = 0 Reorder the terms: 80 + -27 + -48q = 0 Combine like terms: 80 + -27 = 53 53 + -48q = 0 Solving 53 + -48q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + -48q = 0 + -53 Combine like terms: 53 + -53 = 0 0 + -48q = 0 + -53 -48q = 0 + -53 Combine like terms: 0 + -53 = -53 -48q = -53 Divide each side by '-48'. q = 1.104166667 Simplifying q = 1.104166667
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