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Simplifying 5(8 + -1q) = 8 + q (8 * 5 + -1q * 5) = 8 + q (40 + -5q) = 8 + q Solving 40 + -5q = 8 + q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. 40 + -5q + -1q = 8 + q + -1q Combine like terms: -5q + -1q = -6q 40 + -6q = 8 + q + -1q Combine like terms: q + -1q = 0 40 + -6q = 8 + 0 40 + -6q = 8 Add '-40' to each side of the equation. 40 + -40 + -6q = 8 + -40 Combine like terms: 40 + -40 = 0 0 + -6q = 8 + -40 -6q = 8 + -40 Combine like terms: 8 + -40 = -32 -6q = -32 Divide each side by '-6'. q = 5.333333333 Simplifying q = 5.333333333
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