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Simplifying -18c + -15 + -2c = 19 + -3(13c + -14) Reorder the terms: -15 + -18c + -2c = 19 + -3(13c + -14) Combine like terms: -18c + -2c = -20c -15 + -20c = 19 + -3(13c + -14) Reorder the terms: -15 + -20c = 19 + -3(-14 + 13c) -15 + -20c = 19 + (-14 * -3 + 13c * -3) -15 + -20c = 19 + (42 + -39c) Combine like terms: 19 + 42 = 61 -15 + -20c = 61 + -39c Solving -15 + -20c = 61 + -39c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '39c' to each side of the equation. -15 + -20c + 39c = 61 + -39c + 39c Combine like terms: -20c + 39c = 19c -15 + 19c = 61 + -39c + 39c Combine like terms: -39c + 39c = 0 -15 + 19c = 61 + 0 -15 + 19c = 61 Add '15' to each side of the equation. -15 + 15 + 19c = 61 + 15 Combine like terms: -15 + 15 = 0 0 + 19c = 61 + 15 19c = 61 + 15 Combine like terms: 61 + 15 = 76 19c = 76 Divide each side by '19'. c = 4 Simplifying c = 4
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