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Simplifying 0.9 = 0.45(c + 3) Reorder the terms: 0.9 = 0.45(3 + c) 0.9 = (3 * 0.45 + c * 0.45) 0.9 = (1.35 + 0.45c) Solving 0.9 = 1.35 + 0.45c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.45c' to each side of the equation. 0.9 + -0.45c = 1.35 + 0.45c + -0.45c Combine like terms: 0.45c + -0.45c = 0.00 0.9 + -0.45c = 1.35 + 0.00 0.9 + -0.45c = 1.35 Add '-0.9' to each side of the equation. 0.9 + -0.9 + -0.45c = 1.35 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + -0.45c = 1.35 + -0.9 -0.45c = 1.35 + -0.9 Combine like terms: 1.35 + -0.9 = 0.45 -0.45c = 0.45 Divide each side by '-0.45'. c = -1 Simplifying c = -1
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