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Simplifying 27 + -9 = 13 + -16q Combine like terms: 27 + -9 = 18 18 = 13 + -16q Solving 18 = 13 + -16q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '16q' to each side of the equation. 18 + 16q = 13 + -16q + 16q Combine like terms: -16q + 16q = 0 18 + 16q = 13 + 0 18 + 16q = 13 Add '-18' to each side of the equation. 18 + -18 + 16q = 13 + -18 Combine like terms: 18 + -18 = 0 0 + 16q = 13 + -18 16q = 13 + -18 Combine like terms: 13 + -18 = -5 16q = -5 Divide each side by '16'. q = -0.3125 Simplifying q = -0.3125
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