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Simplifying 16q + 15 + -7q = -8(-1q + -2) + -20 Reorder the terms: 15 + 16q + -7q = -8(-1q + -2) + -20 Combine like terms: 16q + -7q = 9q 15 + 9q = -8(-1q + -2) + -20 Reorder the terms: 15 + 9q = -8(-2 + -1q) + -20 15 + 9q = (-2 * -8 + -1q * -8) + -20 15 + 9q = (16 + 8q) + -20 Reorder the terms: 15 + 9q = 16 + -20 + 8q Combine like terms: 16 + -20 = -4 15 + 9q = -4 + 8q Solving 15 + 9q = -4 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. 15 + 9q + -8q = -4 + 8q + -8q Combine like terms: 9q + -8q = 1q 15 + 1q = -4 + 8q + -8q Combine like terms: 8q + -8q = 0 15 + 1q = -4 + 0 15 + 1q = -4 Add '-15' to each side of the equation. 15 + -15 + 1q = -4 + -15 Combine like terms: 15 + -15 = 0 0 + 1q = -4 + -15 1q = -4 + -15 Combine like terms: -4 + -15 = -19 1q = -19 Divide each side by '1'. q = -19 Simplifying q = -19
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