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Simplifying 0.03(3c + -39) = -0.9(c + -2) Reorder the terms: 0.03(-39 + 3c) = -0.9(c + -2) (-39 * 0.03 + 3c * 0.03) = -0.9(c + -2) (-1.17 + 0.09c) = -0.9(c + -2) Reorder the terms: -1.17 + 0.09c = -0.9(-2 + c) -1.17 + 0.09c = (-2 * -0.9 + c * -0.9) -1.17 + 0.09c = (1.8 + -0.9c) Solving -1.17 + 0.09c = 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. -1.17 + 0.09c + 0.9c = 1.8 + -0.9c + 0.9c Combine like terms: 0.09c + 0.9c = 0.99c -1.17 + 0.99c = 1.8 + -0.9c + 0.9c Combine like terms: -0.9c + 0.9c = 0.0 -1.17 + 0.99c = 1.8 + 0.0 -1.17 + 0.99c = 1.8 Add '1.17' to each side of the equation. -1.17 + 1.17 + 0.99c = 1.8 + 1.17 Combine like terms: -1.17 + 1.17 = 0.00 0.00 + 0.99c = 1.8 + 1.17 0.99c = 1.8 + 1.17 Combine like terms: 1.8 + 1.17 = 2.97 0.99c = 2.97 Divide each side by '0.99'. c = 3 Simplifying c = 3
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