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Simplifying 2(c + 4) = 4c + -10 Reorder the terms: 2(4 + c) = 4c + -10 (4 * 2 + c * 2) = 4c + -10 (8 + 2c) = 4c + -10 Reorder the terms: 8 + 2c = -10 + 4c Solving 8 + 2c = -10 + 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. 8 + 2c + -4c = -10 + 4c + -4c Combine like terms: 2c + -4c = -2c 8 + -2c = -10 + 4c + -4c Combine like terms: 4c + -4c = 0 8 + -2c = -10 + 0 8 + -2c = -10 Add '-8' to each side of the equation. 8 + -8 + -2c = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -2c = -10 + -8 -2c = -10 + -8 Combine like terms: -10 + -8 = -18 -2c = -18 Divide each side by '-2'. c = 9 Simplifying c = 9
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