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Simplifying 0.03(2c + -24) = -0.6(c + -1) Reorder the terms: 0.03(-24 + 2c) = -0.6(c + -1) (-24 * 0.03 + 2c * 0.03) = -0.6(c + -1) (-0.72 + 0.06c) = -0.6(c + -1) Reorder the terms: -0.72 + 0.06c = -0.6(-1 + c) -0.72 + 0.06c = (-1 * -0.6 + c * -0.6) -0.72 + 0.06c = (0.6 + -0.6c) Solving -0.72 + 0.06c = 0.6 + -0.6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '0.6c' to each side of the equation. -0.72 + 0.06c + 0.6c = 0.6 + -0.6c + 0.6c Combine like terms: 0.06c + 0.6c = 0.66c -0.72 + 0.66c = 0.6 + -0.6c + 0.6c Combine like terms: -0.6c + 0.6c = 0.0 -0.72 + 0.66c = 0.6 + 0.0 -0.72 + 0.66c = 0.6 Add '0.72' to each side of the equation. -0.72 + 0.72 + 0.66c = 0.6 + 0.72 Combine like terms: -0.72 + 0.72 = 0.00 0.00 + 0.66c = 0.6 + 0.72 0.66c = 0.6 + 0.72 Combine like terms: 0.6 + 0.72 = 1.32 0.66c = 1.32 Divide each side by '0.66'. c = 2 Simplifying c = 2
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