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Simplifying 0.02(6c + -32) = -0.4(c + -1) Reorder the terms: 0.02(-32 + 6c) = -0.4(c + -1) (-32 * 0.02 + 6c * 0.02) = -0.4(c + -1) (-0.64 + 0.12c) = -0.4(c + -1) Reorder the terms: -0.64 + 0.12c = -0.4(-1 + c) -0.64 + 0.12c = (-1 * -0.4 + c * -0.4) -0.64 + 0.12c = (0.4 + -0.4c) Solving -0.64 + 0.12c = 0.4 + -0.4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '0.4c' to each side of the equation. -0.64 + 0.12c + 0.4c = 0.4 + -0.4c + 0.4c Combine like terms: 0.12c + 0.4c = 0.52c -0.64 + 0.52c = 0.4 + -0.4c + 0.4c Combine like terms: -0.4c + 0.4c = 0.0 -0.64 + 0.52c = 0.4 + 0.0 -0.64 + 0.52c = 0.4 Add '0.64' to each side of the equation. -0.64 + 0.64 + 0.52c = 0.4 + 0.64 Combine like terms: -0.64 + 0.64 = 0.00 0.00 + 0.52c = 0.4 + 0.64 0.52c = 0.4 + 0.64 Combine like terms: 0.4 + 0.64 = 1.04 0.52c = 1.04 Divide each side by '0.52'. c = 2 Simplifying c = 2
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