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Simplifying 4(c + -2) + 5 = 2 + c + -5 Reorder the terms: 4(-2 + c) + 5 = 2 + c + -5 (-2 * 4 + c * 4) + 5 = 2 + c + -5 (-8 + 4c) + 5 = 2 + c + -5 Reorder the terms: -8 + 5 + 4c = 2 + c + -5 Combine like terms: -8 + 5 = -3 -3 + 4c = 2 + c + -5 Reorder the terms: -3 + 4c = 2 + -5 + c Combine like terms: 2 + -5 = -3 -3 + 4c = -3 + c Add '3' to each side of the equation. -3 + 3 + 4c = -3 + 3 + c Combine like terms: -3 + 3 = 0 0 + 4c = -3 + 3 + c 4c = -3 + 3 + c Combine like terms: -3 + 3 = 0 4c = 0 + c 4c = c Solving 4c = c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 4c + -1c = c + -1c Combine like terms: 4c + -1c = 3c 3c = c + -1c Combine like terms: c + -1c = 0 3c = 0 Divide each side by '3'. c = 0 Simplifying c = 0
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