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Simplifying 1.5(c + -1) = 0.5(4c) + 1 Reorder the terms: 1.5(-1 + c) = 0.5(4c) + 1 (-1 * 1.5 + c * 1.5) = 0.5(4c) + 1 (-1.5 + 1.5c) = 0.5(4c) + 1 Remove parenthesis around (4c) -1.5 + 1.5c = 0.5 * 4c + 1 Multiply 0.5 * 4 -1.5 + 1.5c = 2c + 1 Reorder the terms: -1.5 + 1.5c = 1 + 2c Solving -1.5 + 1.5c = 1 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -1.5 + 1.5c + -2c = 1 + 2c + -2c Combine like terms: 1.5c + -2c = -0.5c -1.5 + -0.5c = 1 + 2c + -2c Combine like terms: 2c + -2c = 0 -1.5 + -0.5c = 1 + 0 -1.5 + -0.5c = 1 Add '1.5' to each side of the equation. -1.5 + 1.5 + -0.5c = 1 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -0.5c = 1 + 1.5 -0.5c = 1 + 1.5 Combine like terms: 1 + 1.5 = 2.5 -0.5c = 2.5 Divide each side by '-0.5'. c = -5 Simplifying c = -5
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