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Simplifying 5q + 3(-8 + 4q) = 1 + -1y 5q + (-8 * 3 + 4q * 3) = 1 + -1y 5q + (-24 + 12q) = 1 + -1y Reorder the terms: -24 + 5q + 12q = 1 + -1y Combine like terms: 5q + 12q = 17q -24 + 17q = 1 + -1y Solving -24 + 17q = 1 + -1y Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 17q = 1 + 24 + -1y Combine like terms: -24 + 24 = 0 0 + 17q = 1 + 24 + -1y 17q = 1 + 24 + -1y Combine like terms: 1 + 24 = 25 17q = 25 + -1y Divide each side by '17'. q = 1.470588235 + -0.05882352941y Simplifying q = 1.470588235 + -0.05882352941y
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