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Simplifying 4q + 2(3q + -8) = -1q + -6 Reorder the terms: 4q + 2(-8 + 3q) = -1q + -6 4q + (-8 * 2 + 3q * 2) = -1q + -6 4q + (-16 + 6q) = -1q + -6 Reorder the terms: -16 + 4q + 6q = -1q + -6 Combine like terms: 4q + 6q = 10q -16 + 10q = -1q + -6 Reorder the terms: -16 + 10q = -6 + -1q Solving -16 + 10q = -6 + -1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'q' to each side of the equation. -16 + 10q + q = -6 + -1q + q Combine like terms: 10q + q = 11q -16 + 11q = -6 + -1q + q Combine like terms: -1q + q = 0 -16 + 11q = -6 + 0 -16 + 11q = -6 Add '16' to each side of the equation. -16 + 16 + 11q = -6 + 16 Combine like terms: -16 + 16 = 0 0 + 11q = -6 + 16 11q = -6 + 16 Combine like terms: -6 + 16 = 10 11q = 10 Divide each side by '11'. q = 0.9090909091 Simplifying q = 0.9090909091
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