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Simplifying 4(c + 2) + 10 = 2c + -6 Reorder the terms: 4(2 + c) + 10 = 2c + -6 (2 * 4 + c * 4) + 10 = 2c + -6 (8 + 4c) + 10 = 2c + -6 Reorder the terms: 8 + 10 + 4c = 2c + -6 Combine like terms: 8 + 10 = 18 18 + 4c = 2c + -6 Reorder the terms: 18 + 4c = -6 + 2c Solving 18 + 4c = -6 + 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. 18 + 4c + -2c = -6 + 2c + -2c Combine like terms: 4c + -2c = 2c 18 + 2c = -6 + 2c + -2c Combine like terms: 2c + -2c = 0 18 + 2c = -6 + 0 18 + 2c = -6 Add '-18' to each side of the equation. 18 + -18 + 2c = -6 + -18 Combine like terms: 18 + -18 = 0 0 + 2c = -6 + -18 2c = -6 + -18 Combine like terms: -6 + -18 = -24 2c = -24 Divide each side by '2'. c = -12 Simplifying c = -12
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