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Simplifying 5(q + -2) + 3(q + 1) = 33 Reorder the terms: 5(-2 + q) + 3(q + 1) = 33 (-2 * 5 + q * 5) + 3(q + 1) = 33 (-10 + 5q) + 3(q + 1) = 33 Reorder the terms: -10 + 5q + 3(1 + q) = 33 -10 + 5q + (1 * 3 + q * 3) = 33 -10 + 5q + (3 + 3q) = 33 Reorder the terms: -10 + 3 + 5q + 3q = 33 Combine like terms: -10 + 3 = -7 -7 + 5q + 3q = 33 Combine like terms: 5q + 3q = 8q -7 + 8q = 33 Solving -7 + 8q = 33 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 8q = 33 + 7 Combine like terms: -7 + 7 = 0 0 + 8q = 33 + 7 8q = 33 + 7 Combine like terms: 33 + 7 = 40 8q = 40 Divide each side by '8'. q = 5 Simplifying q = 5
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