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Simplifying 0.03(6c + -42) = -0.9(c + -1) Reorder the terms: 0.03(-42 + 6c) = -0.9(c + -1) (-42 * 0.03 + 6c * 0.03) = -0.9(c + -1) (-1.26 + 0.18c) = -0.9(c + -1) Reorder the terms: -1.26 + 0.18c = -0.9(-1 + c) -1.26 + 0.18c = (-1 * -0.9 + c * -0.9) -1.26 + 0.18c = (0.9 + -0.9c) Solving -1.26 + 0.18c = 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. -1.26 + 0.18c + 0.9c = 0.9 + -0.9c + 0.9c Combine like terms: 0.18c + 0.9c = 1.08c -1.26 + 1.08c = 0.9 + -0.9c + 0.9c Combine like terms: -0.9c + 0.9c = 0.0 -1.26 + 1.08c = 0.9 + 0.0 -1.26 + 1.08c = 0.9 Add '1.26' to each side of the equation. -1.26 + 1.26 + 1.08c = 0.9 + 1.26 Combine like terms: -1.26 + 1.26 = 0.00 0.00 + 1.08c = 0.9 + 1.26 1.08c = 0.9 + 1.26 Combine like terms: 0.9 + 1.26 = 2.16 1.08c = 2.16 Divide each side by '1.08'. c = 2 Simplifying c = 2
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