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Simplifying 5c + -2(c + -9) = 4 + 4c Reorder the terms: 5c + -2(-9 + c) = 4 + 4c 5c + (-9 * -2 + c * -2) = 4 + 4c 5c + (18 + -2c) = 4 + 4c Reorder the terms: 18 + 5c + -2c = 4 + 4c Combine like terms: 5c + -2c = 3c 18 + 3c = 4 + 4c Solving 18 + 3c = 4 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 18 + 3c + -4c = 4 + 4c + -4c Combine like terms: 3c + -4c = -1c 18 + -1c = 4 + 4c + -4c Combine like terms: 4c + -4c = 0 18 + -1c = 4 + 0 18 + -1c = 4 Add '-18' to each side of the equation. 18 + -18 + -1c = 4 + -18 Combine like terms: 18 + -18 = 0 0 + -1c = 4 + -18 -1c = 4 + -18 Combine like terms: 4 + -18 = -14 -1c = -14 Divide each side by '-1'. c = 14 Simplifying c = 14
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