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Simplifying 3(c + -5) = c + 23 Reorder the terms: 3(-5 + c) = c + 23 (-5 * 3 + c * 3) = c + 23 (-15 + 3c) = c + 23 Reorder the terms: -15 + 3c = 23 + c Solving -15 + 3c = 23 + 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. -15 + 3c + -1c = 23 + c + -1c Combine like terms: 3c + -1c = 2c -15 + 2c = 23 + c + -1c Combine like terms: c + -1c = 0 -15 + 2c = 23 + 0 -15 + 2c = 23 Add '15' to each side of the equation. -15 + 15 + 2c = 23 + 15 Combine like terms: -15 + 15 = 0 0 + 2c = 23 + 15 2c = 23 + 15 Combine like terms: 23 + 15 = 38 2c = 38 Divide each side by '2'. c = 19 Simplifying c = 19
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