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Simplifying 0.03(9c + -93) = -0.9(c + -6) Reorder the terms: 0.03(-93 + 9c) = -0.9(c + -6) (-93 * 0.03 + 9c * 0.03) = -0.9(c + -6) (-2.79 + 0.27c) = -0.9(c + -6) Reorder the terms: -2.79 + 0.27c = -0.9(-6 + c) -2.79 + 0.27c = (-6 * -0.9 + c * -0.9) -2.79 + 0.27c = (5.4 + -0.9c) Solving -2.79 + 0.27c = 5.4 + -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. -2.79 + 0.27c + 0.9c = 5.4 + -0.9c + 0.9c Combine like terms: 0.27c + 0.9c = 1.17c -2.79 + 1.17c = 5.4 + -0.9c + 0.9c Combine like terms: -0.9c + 0.9c = 0.0 -2.79 + 1.17c = 5.4 + 0.0 -2.79 + 1.17c = 5.4 Add '2.79' to each side of the equation. -2.79 + 2.79 + 1.17c = 5.4 + 2.79 Combine like terms: -2.79 + 2.79 = 0.00 0.00 + 1.17c = 5.4 + 2.79 1.17c = 5.4 + 2.79 Combine like terms: 5.4 + 2.79 = 8.19 1.17c = 8.19 Divide each side by '1.17'. c = 7 Simplifying c = 7
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