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Simplifying -3(-8q + 10) + -7(1 + -3q) = 0 Reorder the terms: -3(10 + -8q) + -7(1 + -3q) = 0 (10 * -3 + -8q * -3) + -7(1 + -3q) = 0 (-30 + 24q) + -7(1 + -3q) = 0 -30 + 24q + (1 * -7 + -3q * -7) = 0 -30 + 24q + (-7 + 21q) = 0 Reorder the terms: -30 + -7 + 24q + 21q = 0 Combine like terms: -30 + -7 = -37 -37 + 24q + 21q = 0 Combine like terms: 24q + 21q = 45q -37 + 45q = 0 Solving -37 + 45q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 45q = 0 + 37 Combine like terms: -37 + 37 = 0 0 + 45q = 0 + 37 45q = 0 + 37 Combine like terms: 0 + 37 = 37 45q = 37 Divide each side by '45'. q = 0.8222222222 Simplifying q = 0.8222222222
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