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Simplifying 5(q + -3) + -7(11 + -2q) = 3 Reorder the terms: 5(-3 + q) + -7(11 + -2q) = 3 (-3 * 5 + q * 5) + -7(11 + -2q) = 3 (-15 + 5q) + -7(11 + -2q) = 3 -15 + 5q + (11 * -7 + -2q * -7) = 3 -15 + 5q + (-77 + 14q) = 3 Reorder the terms: -15 + -77 + 5q + 14q = 3 Combine like terms: -15 + -77 = -92 -92 + 5q + 14q = 3 Combine like terms: 5q + 14q = 19q -92 + 19q = 3 Solving -92 + 19q = 3 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '92' to each side of the equation. -92 + 92 + 19q = 3 + 92 Combine like terms: -92 + 92 = 0 0 + 19q = 3 + 92 19q = 3 + 92 Combine like terms: 3 + 92 = 95 19q = 95 Divide each side by '19'. q = 5 Simplifying q = 5
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