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Simplifying 19 = 2(q + 1) + -31 Reorder the terms: 19 = 2(1 + q) + -31 19 = (1 * 2 + q * 2) + -31 19 = (2 + 2q) + -31 Reorder the terms: 19 = 2 + -31 + 2q Combine like terms: 2 + -31 = -29 19 = -29 + 2q Solving 19 = -29 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. 19 + -2q = -29 + 2q + -2q Combine like terms: 2q + -2q = 0 19 + -2q = -29 + 0 19 + -2q = -29 Add '-19' to each side of the equation. 19 + -19 + -2q = -29 + -19 Combine like terms: 19 + -19 = 0 0 + -2q = -29 + -19 -2q = -29 + -19 Combine like terms: -29 + -19 = -48 -2q = -48 Divide each side by '-2'. q = 24 Simplifying q = 24
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