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Simplifying 0.02(4c + -64) = -0.8(c + -5) Reorder the terms: 0.02(-64 + 4c) = -0.8(c + -5) (-64 * 0.02 + 4c * 0.02) = -0.8(c + -5) (-1.28 + 0.08c) = -0.8(c + -5) Reorder the terms: -1.28 + 0.08c = -0.8(-5 + c) -1.28 + 0.08c = (-5 * -0.8 + c * -0.8) -1.28 + 0.08c = (4 + -0.8c) Solving -1.28 + 0.08c = 4 + -0.8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '0.8c' to each side of the equation. -1.28 + 0.08c + 0.8c = 4 + -0.8c + 0.8c Combine like terms: 0.08c + 0.8c = 0.88c -1.28 + 0.88c = 4 + -0.8c + 0.8c Combine like terms: -0.8c + 0.8c = 0.0 -1.28 + 0.88c = 4 + 0.0 -1.28 + 0.88c = 4 Add '1.28' to each side of the equation. -1.28 + 1.28 + 0.88c = 4 + 1.28 Combine like terms: -1.28 + 1.28 = 0.00 0.00 + 0.88c = 4 + 1.28 0.88c = 4 + 1.28 Combine like terms: 4 + 1.28 = 5.28 0.88c = 5.28 Divide each side by '0.88'. c = 6 Simplifying c = 6
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