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Simplifying -5q + 4 + 6q + -13 = 5 + -4(3q + -4) + 2q Reorder the terms: 4 + -13 + -5q + 6q = 5 + -4(3q + -4) + 2q Combine like terms: 4 + -13 = -9 -9 + -5q + 6q = 5 + -4(3q + -4) + 2q Combine like terms: -5q + 6q = 1q -9 + 1q = 5 + -4(3q + -4) + 2q Reorder the terms: -9 + 1q = 5 + -4(-4 + 3q) + 2q -9 + 1q = 5 + (-4 * -4 + 3q * -4) + 2q -9 + 1q = 5 + (16 + -12q) + 2q Combine like terms: 5 + 16 = 21 -9 + 1q = 21 + -12q + 2q Combine like terms: -12q + 2q = -10q -9 + 1q = 21 + -10q Solving -9 + 1q = 21 + -10q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '10q' to each side of the equation. -9 + 1q + 10q = 21 + -10q + 10q Combine like terms: 1q + 10q = 11q -9 + 11q = 21 + -10q + 10q Combine like terms: -10q + 10q = 0 -9 + 11q = 21 + 0 -9 + 11q = 21 Add '9' to each side of the equation. -9 + 9 + 11q = 21 + 9 Combine like terms: -9 + 9 = 0 0 + 11q = 21 + 9 11q = 21 + 9 Combine like terms: 21 + 9 = 30 11q = 30 Divide each side by '11'. q = 2.727272727 Simplifying q = 2.727272727
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