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Simplifying 0.03(3c + -69) = -0.9(c + -1) Reorder the terms: 0.03(-69 + 3c) = -0.9(c + -1) (-69 * 0.03 + 3c * 0.03) = -0.9(c + -1) (-2.07 + 0.09c) = -0.9(c + -1) Reorder the terms: -2.07 + 0.09c = -0.9(-1 + c) -2.07 + 0.09c = (-1 * -0.9 + c * -0.9) -2.07 + 0.09c = (0.9 + -0.9c) Solving -2.07 + 0.09c = 0.9 + -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. -2.07 + 0.09c + 0.9c = 0.9 + -0.9c + 0.9c Combine like terms: 0.09c + 0.9c = 0.99c -2.07 + 0.99c = 0.9 + -0.9c + 0.9c Combine like terms: -0.9c + 0.9c = 0.0 -2.07 + 0.99c = 0.9 + 0.0 -2.07 + 0.99c = 0.9 Add '2.07' to each side of the equation. -2.07 + 2.07 + 0.99c = 0.9 + 2.07 Combine like terms: -2.07 + 2.07 = 0.00 0.00 + 0.99c = 0.9 + 2.07 0.99c = 0.9 + 2.07 Combine like terms: 0.9 + 2.07 = 2.97 0.99c = 2.97 Divide each side by '0.99'. c = 3 Simplifying c = 3
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