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Simplifying 0.02(8c + -56) = -0.8(c + -1) Reorder the terms: 0.02(-56 + 8c) = -0.8(c + -1) (-56 * 0.02 + 8c * 0.02) = -0.8(c + -1) (-1.12 + 0.16c) = -0.8(c + -1) Reorder the terms: -1.12 + 0.16c = -0.8(-1 + c) -1.12 + 0.16c = (-1 * -0.8 + c * -0.8) -1.12 + 0.16c = (0.8 + -0.8c) Solving -1.12 + 0.16c = 0.8 + -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. -1.12 + 0.16c + 0.8c = 0.8 + -0.8c + 0.8c Combine like terms: 0.16c + 0.8c = 0.96c -1.12 + 0.96c = 0.8 + -0.8c + 0.8c Combine like terms: -0.8c + 0.8c = 0.0 -1.12 + 0.96c = 0.8 + 0.0 -1.12 + 0.96c = 0.8 Add '1.12' to each side of the equation. -1.12 + 1.12 + 0.96c = 0.8 + 1.12 Combine like terms: -1.12 + 1.12 = 0.00 0.00 + 0.96c = 0.8 + 1.12 0.96c = 0.8 + 1.12 Combine like terms: 0.8 + 1.12 = 1.92 0.96c = 1.92 Divide each side by '0.96'. c = 2 Simplifying c = 2
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