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Simplifying 10 = 2(c + -3) + -8 Reorder the terms: 10 = 2(-3 + c) + -8 10 = (-3 * 2 + c * 2) + -8 10 = (-6 + 2c) + -8 Reorder the terms: 10 = -6 + -8 + 2c Combine like terms: -6 + -8 = -14 10 = -14 + 2c Solving 10 = -14 + 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. 10 + -2c = -14 + 2c + -2c Combine like terms: 2c + -2c = 0 10 + -2c = -14 + 0 10 + -2c = -14 Add '-10' to each side of the equation. 10 + -10 + -2c = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -2c = -14 + -10 -2c = -14 + -10 Combine like terms: -14 + -10 = -24 -2c = -24 Divide each side by '-2'. c = 12 Simplifying c = 12
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