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Simplifying 2(9 + -4) = 49 + -1(2q + 4) Combine like terms: 9 + -4 = 5 2(5) = 49 + -1(2q + 4) Multiply 2 * 5 10 = 49 + -1(2q + 4) Reorder the terms: 10 = 49 + -1(4 + 2q) 10 = 49 + (4 * -1 + 2q * -1) 10 = 49 + (-4 + -2q) Combine like terms: 49 + -4 = 45 10 = 45 + -2q Solving 10 = 45 + -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. 10 + 2q = 45 + -2q + 2q Combine like terms: -2q + 2q = 0 10 + 2q = 45 + 0 10 + 2q = 45 Add '-10' to each side of the equation. 10 + -10 + 2q = 45 + -10 Combine like terms: 10 + -10 = 0 0 + 2q = 45 + -10 2q = 45 + -10 Combine like terms: 45 + -10 = 35 2q = 35 Divide each side by '2'. q = 17.5 Simplifying q = 17.5
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