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Simplifying 45 + -1(2c + 4) = (c + 5) + c Reorder the terms: 45 + -1(4 + 2c) = (c + 5) + c 45 + (4 * -1 + 2c * -1) = (c + 5) + c 45 + (-4 + -2c) = (c + 5) + c Combine like terms: 45 + -4 = 41 41 + -2c = (c + 5) + c Reorder the terms: 41 + -2c = (5 + c) + c Remove parenthesis around (5 + c) 41 + -2c = 5 + c + c Combine like terms: c + c = 2c 41 + -2c = 5 + 2c Solving 41 + -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. 41 + -2c + -2c = 5 + 2c + -2c Combine like terms: -2c + -2c = -4c 41 + -4c = 5 + 2c + -2c Combine like terms: 2c + -2c = 0 41 + -4c = 5 + 0 41 + -4c = 5 Add '-41' to each side of the equation. 41 + -41 + -4c = 5 + -41 Combine like terms: 41 + -41 = 0 0 + -4c = 5 + -41 -4c = 5 + -41 Combine like terms: 5 + -41 = -36 -4c = -36 Divide each side by '-4'. c = 9 Simplifying c = 9
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