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Simplifying 8(10 + -6q) + 3(-7q + -2) = 0 (10 * 8 + -6q * 8) + 3(-7q + -2) = 0 (80 + -48q) + 3(-7q + -2) = 0 Reorder the terms: 80 + -48q + 3(-2 + -7q) = 0 80 + -48q + (-2 * 3 + -7q * 3) = 0 80 + -48q + (-6 + -21q) = 0 Reorder the terms: 80 + -6 + -48q + -21q = 0 Combine like terms: 80 + -6 = 74 74 + -48q + -21q = 0 Combine like terms: -48q + -21q = -69q 74 + -69q = 0 Solving 74 + -69q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-74' to each side of the equation. 74 + -74 + -69q = 0 + -74 Combine like terms: 74 + -74 = 0 0 + -69q = 0 + -74 -69q = 0 + -74 Combine like terms: 0 + -74 = -74 -69q = -74 Divide each side by '-69'. q = 1.072463768 Simplifying q = 1.072463768
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