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Simplifying 2(1.5c + 4) = -1 + 0.75c Reorder the terms: 2(4 + 1.5c) = -1 + 0.75c (4 * 2 + 1.5c * 2) = -1 + 0.75c (8 + 3c) = -1 + 0.75c Solving 8 + 3c = -1 + 0.75c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.75c' to each side of the equation. 8 + 3c + -0.75c = -1 + 0.75c + -0.75c Combine like terms: 3c + -0.75c = 2.25c 8 + 2.25c = -1 + 0.75c + -0.75c Combine like terms: 0.75c + -0.75c = 0.00 8 + 2.25c = -1 + 0.00 8 + 2.25c = -1 Add '-8' to each side of the equation. 8 + -8 + 2.25c = -1 + -8 Combine like terms: 8 + -8 = 0 0 + 2.25c = -1 + -8 2.25c = -1 + -8 Combine like terms: -1 + -8 = -9 2.25c = -9 Divide each side by '2.25'. c = -4 Simplifying c = -4
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