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Simplifying 0.03(9c + -96) = -0.9(c + -2) Reorder the terms: 0.03(-96 + 9c) = -0.9(c + -2) (-96 * 0.03 + 9c * 0.03) = -0.9(c + -2) (-2.88 + 0.27c) = -0.9(c + -2) Reorder the terms: -2.88 + 0.27c = -0.9(-2 + c) -2.88 + 0.27c = (-2 * -0.9 + c * -0.9) -2.88 + 0.27c = (1.8 + -0.9c) Solving -2.88 + 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. -2.88 + 0.27c + 0.9c = 1.8 + -0.9c + 0.9c Combine like terms: 0.27c + 0.9c = 1.17c -2.88 + 1.17c = 1.8 + -0.9c + 0.9c Combine like terms: -0.9c + 0.9c = 0.0 -2.88 + 1.17c = 1.8 + 0.0 -2.88 + 1.17c = 1.8 Add '2.88' to each side of the equation. -2.88 + 2.88 + 1.17c = 1.8 + 2.88 Combine like terms: -2.88 + 2.88 = 0.00 0.00 + 1.17c = 1.8 + 2.88 1.17c = 1.8 + 2.88 Combine like terms: 1.8 + 2.88 = 4.68 1.17c = 4.68 Divide each side by '1.17'. c = 4 Simplifying c = 4
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