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Simplifying 10(c + -2) + 5 = 3 + c + -18 Reorder the terms: 10(-2 + c) + 5 = 3 + c + -18 (-2 * 10 + c * 10) + 5 = 3 + c + -18 (-20 + 10c) + 5 = 3 + c + -18 Reorder the terms: -20 + 5 + 10c = 3 + c + -18 Combine like terms: -20 + 5 = -15 -15 + 10c = 3 + c + -18 Reorder the terms: -15 + 10c = 3 + -18 + c Combine like terms: 3 + -18 = -15 -15 + 10c = -15 + c Add '15' to each side of the equation. -15 + 15 + 10c = -15 + 15 + c Combine like terms: -15 + 15 = 0 0 + 10c = -15 + 15 + c 10c = -15 + 15 + c Combine like terms: -15 + 15 = 0 10c = 0 + c 10c = c Solving 10c = 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. 10c + -1c = c + -1c Combine like terms: 10c + -1c = 9c 9c = c + -1c Combine like terms: c + -1c = 0 9c = 0 Divide each side by '9'. c = 0 Simplifying c = 0
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