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Simplifying 5(c + -3) + 5 = 2 + c + -12 Reorder the terms: 5(-3 + c) + 5 = 2 + c + -12 (-3 * 5 + c * 5) + 5 = 2 + c + -12 (-15 + 5c) + 5 = 2 + c + -12 Reorder the terms: -15 + 5 + 5c = 2 + c + -12 Combine like terms: -15 + 5 = -10 -10 + 5c = 2 + c + -12 Reorder the terms: -10 + 5c = 2 + -12 + c Combine like terms: 2 + -12 = -10 -10 + 5c = -10 + c Add '10' to each side of the equation. -10 + 10 + 5c = -10 + 10 + c Combine like terms: -10 + 10 = 0 0 + 5c = -10 + 10 + c 5c = -10 + 10 + c Combine like terms: -10 + 10 = 0 5c = 0 + c 5c = c Solving 5c = 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. 5c + -1c = c + -1c Combine like terms: 5c + -1c = 4c 4c = c + -1c Combine like terms: c + -1c = 0 4c = 0 Divide each side by '4'. c = 0 Simplifying c = 0
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