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Simplifying -5(-46 + q) = 5 + -8q (-46 * -5 + q * -5) = 5 + -8q (230 + -5q) = 5 + -8q Solving 230 + -5q = 5 + -8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '8q' to each side of the equation. 230 + -5q + 8q = 5 + -8q + 8q Combine like terms: -5q + 8q = 3q 230 + 3q = 5 + -8q + 8q Combine like terms: -8q + 8q = 0 230 + 3q = 5 + 0 230 + 3q = 5 Add '-230' to each side of the equation. 230 + -230 + 3q = 5 + -230 Combine like terms: 230 + -230 = 0 0 + 3q = 5 + -230 3q = 5 + -230 Combine like terms: 5 + -230 = -225 3q = -225 Divide each side by '3'. q = -75 Simplifying q = -75
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