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Simplifying 0.25q + 2 = -3(2q + -1) + 4(2q + 1) Reorder the terms: 2 + 0.25q = -3(2q + -1) + 4(2q + 1) Reorder the terms: 2 + 0.25q = -3(-1 + 2q) + 4(2q + 1) 2 + 0.25q = (-1 * -3 + 2q * -3) + 4(2q + 1) 2 + 0.25q = (3 + -6q) + 4(2q + 1) Reorder the terms: 2 + 0.25q = 3 + -6q + 4(1 + 2q) 2 + 0.25q = 3 + -6q + (1 * 4 + 2q * 4) 2 + 0.25q = 3 + -6q + (4 + 8q) Reorder the terms: 2 + 0.25q = 3 + 4 + -6q + 8q Combine like terms: 3 + 4 = 7 2 + 0.25q = 7 + -6q + 8q Combine like terms: -6q + 8q = 2q 2 + 0.25q = 7 + 2q Solving 2 + 0.25q = 7 + 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. 2 + 0.25q + -2q = 7 + 2q + -2q Combine like terms: 0.25q + -2q = -1.75q 2 + -1.75q = 7 + 2q + -2q Combine like terms: 2q + -2q = 0 2 + -1.75q = 7 + 0 2 + -1.75q = 7 Add '-2' to each side of the equation. 2 + -2 + -1.75q = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -1.75q = 7 + -2 -1.75q = 7 + -2 Combine like terms: 7 + -2 = 5 -1.75q = 5 Divide each side by '-1.75'. q = -2.857142857 Simplifying q = -2.857142857
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