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Simplifying -1(5q + 3) = 4(-1 + 10q) + -7q Reorder the terms: -1(3 + 5q) = 4(-1 + 10q) + -7q (3 * -1 + 5q * -1) = 4(-1 + 10q) + -7q (-3 + -5q) = 4(-1 + 10q) + -7q -3 + -5q = (-1 * 4 + 10q * 4) + -7q -3 + -5q = (-4 + 40q) + -7q Combine like terms: 40q + -7q = 33q -3 + -5q = -4 + 33q Solving -3 + -5q = -4 + 33q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-33q' to each side of the equation. -3 + -5q + -33q = -4 + 33q + -33q Combine like terms: -5q + -33q = -38q -3 + -38q = -4 + 33q + -33q Combine like terms: 33q + -33q = 0 -3 + -38q = -4 + 0 -3 + -38q = -4 Add '3' to each side of the equation. -3 + 3 + -38q = -4 + 3 Combine like terms: -3 + 3 = 0 0 + -38q = -4 + 3 -38q = -4 + 3 Combine like terms: -4 + 3 = -1 -38q = -1 Divide each side by '-38'. q = 0.02631578947 Simplifying q = 0.02631578947
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