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Simplifying 3c + 18 = 9c + 2(4 + -1c) Reorder the terms: 18 + 3c = 9c + 2(4 + -1c) 18 + 3c = 9c + (4 * 2 + -1c * 2) 18 + 3c = 9c + (8 + -2c) Reorder the terms: 18 + 3c = 8 + 9c + -2c Combine like terms: 9c + -2c = 7c 18 + 3c = 8 + 7c Solving 18 + 3c = 8 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 18 + 3c + -7c = 8 + 7c + -7c Combine like terms: 3c + -7c = -4c 18 + -4c = 8 + 7c + -7c Combine like terms: 7c + -7c = 0 18 + -4c = 8 + 0 18 + -4c = 8 Add '-18' to each side of the equation. 18 + -18 + -4c = 8 + -18 Combine like terms: 18 + -18 = 0 0 + -4c = 8 + -18 -4c = 8 + -18 Combine like terms: 8 + -18 = -10 -4c = -10 Divide each side by '-4'. c = 2.5 Simplifying c = 2.5
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