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Simplifying 0.03(9c + -57) = -0.9(c + -2) Reorder the terms: 0.03(-57 + 9c) = -0.9(c + -2) (-57 * 0.03 + 9c * 0.03) = -0.9(c + -2) (-1.71 + 0.27c) = -0.9(c + -2) Reorder the terms: -1.71 + 0.27c = -0.9(-2 + c) -1.71 + 0.27c = (-2 * -0.9 + c * -0.9) -1.71 + 0.27c = (1.8 + -0.9c) Solving -1.71 + 0.27c = 1.8 + -0.9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '0.9c' to each side of the equation. -1.71 + 0.27c + 0.9c = 1.8 + -0.9c + 0.9c Combine like terms: 0.27c + 0.9c = 1.17c -1.71 + 1.17c = 1.8 + -0.9c + 0.9c Combine like terms: -0.9c + 0.9c = 0.0 -1.71 + 1.17c = 1.8 + 0.0 -1.71 + 1.17c = 1.8 Add '1.71' to each side of the equation. -1.71 + 1.71 + 1.17c = 1.8 + 1.71 Combine like terms: -1.71 + 1.71 = 0.00 0.00 + 1.17c = 1.8 + 1.71 1.17c = 1.8 + 1.71 Combine like terms: 1.8 + 1.71 = 3.51 1.17c = 3.51 Divide each side by '1.17'. c = 3 Simplifying c = 3
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