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Simplifying 0.5(2 + -1c) = 1.5(c + 6) (2 * 0.5 + -1c * 0.5) = 1.5(c + 6) (1 + -0.5c) = 1.5(c + 6) Reorder the terms: 1 + -0.5c = 1.5(6 + c) 1 + -0.5c = (6 * 1.5 + c * 1.5) 1 + -0.5c = (9 + 1.5c) Solving 1 + -0.5c = 9 + 1.5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1.5c' to each side of the equation. 1 + -0.5c + -1.5c = 9 + 1.5c + -1.5c Combine like terms: -0.5c + -1.5c = -2c 1 + -2c = 9 + 1.5c + -1.5c Combine like terms: 1.5c + -1.5c = 0.0 1 + -2c = 9 + 0.0 1 + -2c = 9 Add '-1' to each side of the equation. 1 + -1 + -2c = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -2c = 9 + -1 -2c = 9 + -1 Combine like terms: 9 + -1 = 8 -2c = 8 Divide each side by '-2'. c = -4 Simplifying c = -4
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