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Simplifying 5 = 76(q + -5) + -19 Reorder the terms: 5 = 76(-5 + q) + -19 5 = (-5 * 76 + q * 76) + -19 5 = (-380 + 76q) + -19 Reorder the terms: 5 = -380 + -19 + 76q Combine like terms: -380 + -19 = -399 5 = -399 + 76q Solving 5 = -399 + 76q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-76q' to each side of the equation. 5 + -76q = -399 + 76q + -76q Combine like terms: 76q + -76q = 0 5 + -76q = -399 + 0 5 + -76q = -399 Add '-5' to each side of the equation. 5 + -5 + -76q = -399 + -5 Combine like terms: 5 + -5 = 0 0 + -76q = -399 + -5 -76q = -399 + -5 Combine like terms: -399 + -5 = -404 -76q = -404 Divide each side by '-76'. q = 5.315789474 Simplifying q = 5.315789474
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