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Simplifying 0.35(c + -5) = 0.45(c + 4) Reorder the terms: 0.35(-5 + c) = 0.45(c + 4) (-5 * 0.35 + c * 0.35) = 0.45(c + 4) (-1.75 + 0.35c) = 0.45(c + 4) Reorder the terms: -1.75 + 0.35c = 0.45(4 + c) -1.75 + 0.35c = (4 * 0.45 + c * 0.45) -1.75 + 0.35c = (1.8 + 0.45c) Solving -1.75 + 0.35c = 1.8 + 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. -1.75 + 0.35c + -0.45c = 1.8 + 0.45c + -0.45c Combine like terms: 0.35c + -0.45c = -0.1c -1.75 + -0.1c = 1.8 + 0.45c + -0.45c Combine like terms: 0.45c + -0.45c = 0.00 -1.75 + -0.1c = 1.8 + 0.00 -1.75 + -0.1c = 1.8 Add '1.75' to each side of the equation. -1.75 + 1.75 + -0.1c = 1.8 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + -0.1c = 1.8 + 1.75 -0.1c = 1.8 + 1.75 Combine like terms: 1.8 + 1.75 = 3.55 -0.1c = 3.55 Divide each side by '-0.1'. c = -35.5 Simplifying c = -35.5
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