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Simplifying 4(c + -1) = 5(c + 2) Reorder the terms: 4(-1 + c) = 5(c + 2) (-1 * 4 + c * 4) = 5(c + 2) (-4 + 4c) = 5(c + 2) Reorder the terms: -4 + 4c = 5(2 + c) -4 + 4c = (2 * 5 + c * 5) -4 + 4c = (10 + 5c) Solving -4 + 4c = 10 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -4 + 4c + -5c = 10 + 5c + -5c Combine like terms: 4c + -5c = -1c -4 + -1c = 10 + 5c + -5c Combine like terms: 5c + -5c = 0 -4 + -1c = 10 + 0 -4 + -1c = 10 Add '4' to each side of the equation. -4 + 4 + -1c = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -1c = 10 + 4 -1c = 10 + 4 Combine like terms: 10 + 4 = 14 -1c = 14 Divide each side by '-1'. c = -14 Simplifying c = -14
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