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Simplifying -5 = -8q + 3(-1q + 1) Reorder the terms: -5 = -8q + 3(1 + -1q) -5 = -8q + (1 * 3 + -1q * 3) -5 = -8q + (3 + -3q) Reorder the terms: -5 = 3 + -8q + -3q Combine like terms: -8q + -3q = -11q -5 = 3 + -11q Solving -5 = 3 + -11q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '11q' to each side of the equation. -5 + 11q = 3 + -11q + 11q Combine like terms: -11q + 11q = 0 -5 + 11q = 3 + 0 -5 + 11q = 3 Add '5' to each side of the equation. -5 + 5 + 11q = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 11q = 3 + 5 11q = 3 + 5 Combine like terms: 3 + 5 = 8 11q = 8 Divide each side by '11'. q = 0.7272727273 Simplifying q = 0.7272727273
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