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Simplifying 23 + -1(2c + 3) = (c + 5) + c Reorder the terms: 23 + -1(3 + 2c) = (c + 5) + c 23 + (3 * -1 + 2c * -1) = (c + 5) + c 23 + (-3 + -2c) = (c + 5) + c Combine like terms: 23 + -3 = 20 20 + -2c = (c + 5) + c Reorder the terms: 20 + -2c = (5 + c) + c Remove parenthesis around (5 + c) 20 + -2c = 5 + c + c Combine like terms: c + c = 2c 20 + -2c = 5 + 2c Solving 20 + -2c = 5 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 20 + -2c + -2c = 5 + 2c + -2c Combine like terms: -2c + -2c = -4c 20 + -4c = 5 + 2c + -2c Combine like terms: 2c + -2c = 0 20 + -4c = 5 + 0 20 + -4c = 5 Add '-20' to each side of the equation. 20 + -20 + -4c = 5 + -20 Combine like terms: 20 + -20 = 0 0 + -4c = 5 + -20 -4c = 5 + -20 Combine like terms: 5 + -20 = -15 -4c = -15 Divide each side by '-4'. c = 3.75 Simplifying c = 3.75
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