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Simplifying 6(7q + -5) + -1[3(5q + -3) + 2] = 0 Reorder the terms: 6(-5 + 7q) + -1[3(5q + -3) + 2] = 0 (-5 * 6 + 7q * 6) + -1[3(5q + -3) + 2] = 0 (-30 + 42q) + -1[3(5q + -3) + 2] = 0 Reorder the terms: -30 + 42q + -1[3(-3 + 5q) + 2] = 0 -30 + 42q + -1[(-3 * 3 + 5q * 3) + 2] = 0 -30 + 42q + -1[(-9 + 15q) + 2] = 0 Reorder the terms: -30 + 42q + -1[-9 + 2 + 15q] = 0 Combine like terms: -9 + 2 = -7 -30 + 42q + -1[-7 + 15q] = 0 -30 + 42q + [-7 * -1 + 15q * -1] = 0 -30 + 42q + [7 + -15q] = 0 Reorder the terms: -30 + 7 + 42q + -15q = 0 Combine like terms: -30 + 7 = -23 -23 + 42q + -15q = 0 Combine like terms: 42q + -15q = 27q -23 + 27q = 0 Solving -23 + 27q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 27q = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 27q = 0 + 23 27q = 0 + 23 Combine like terms: 0 + 23 = 23 27q = 23 Divide each side by '27'. q = 0.8518518519 Simplifying q = 0.8518518519
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