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Simplifying 2(0.5q + 1) = -3(2q + -1) + (2q + 1) Reorder the terms: 2(1 + 0.5q) = -3(2q + -1) + (2q + 1) (1 * 2 + 0.5q * 2) = -3(2q + -1) + (2q + 1) (2 + 1q) = -3(2q + -1) + (2q + 1) Reorder the terms: 2 + 1q = -3(-1 + 2q) + (2q + 1) 2 + 1q = (-1 * -3 + 2q * -3) + (2q + 1) 2 + 1q = (3 + -6q) + (2q + 1) Reorder the terms: 2 + 1q = 3 + -6q + (1 + 2q) Remove parenthesis around (1 + 2q) 2 + 1q = 3 + -6q + 1 + 2q Reorder the terms: 2 + 1q = 3 + 1 + -6q + 2q Combine like terms: 3 + 1 = 4 2 + 1q = 4 + -6q + 2q Combine like terms: -6q + 2q = -4q 2 + 1q = 4 + -4q Solving 2 + 1q = 4 + -4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4q' to each side of the equation. 2 + 1q + 4q = 4 + -4q + 4q Combine like terms: 1q + 4q = 5q 2 + 5q = 4 + -4q + 4q Combine like terms: -4q + 4q = 0 2 + 5q = 4 + 0 2 + 5q = 4 Add '-2' to each side of the equation. 2 + -2 + 5q = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 5q = 4 + -2 5q = 4 + -2 Combine like terms: 4 + -2 = 2 5q = 2 Divide each side by '5'. q = 0.4 Simplifying q = 0.4
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