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Simplifying 0.02(6c + -50) = -0.4(c + -4) Reorder the terms: 0.02(-50 + 6c) = -0.4(c + -4) (-50 * 0.02 + 6c * 0.02) = -0.4(c + -4) (-1 + 0.12c) = -0.4(c + -4) Reorder the terms: -1 + 0.12c = -0.4(-4 + c) -1 + 0.12c = (-4 * -0.4 + c * -0.4) -1 + 0.12c = (1.6 + -0.4c) Solving -1 + 0.12c = 1.6 + -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. -1 + 0.12c + 0.4c = 1.6 + -0.4c + 0.4c Combine like terms: 0.12c + 0.4c = 0.52c -1 + 0.52c = 1.6 + -0.4c + 0.4c Combine like terms: -0.4c + 0.4c = 0.0 -1 + 0.52c = 1.6 + 0.0 -1 + 0.52c = 1.6 Add '1' to each side of the equation. -1 + 1 + 0.52c = 1.6 + 1 Combine like terms: -1 + 1 = 0 0 + 0.52c = 1.6 + 1 0.52c = 1.6 + 1 Combine like terms: 1.6 + 1 = 2.6 0.52c = 2.6 Divide each side by '0.52'. c = 5 Simplifying c = 5
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