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Simplifying 2(c + -6) = 10c + 12 Reorder the terms: 2(-6 + c) = 10c + 12 (-6 * 2 + c * 2) = 10c + 12 (-12 + 2c) = 10c + 12 Reorder the terms: -12 + 2c = 12 + 10c Solving -12 + 2c = 12 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. -12 + 2c + -10c = 12 + 10c + -10c Combine like terms: 2c + -10c = -8c -12 + -8c = 12 + 10c + -10c Combine like terms: 10c + -10c = 0 -12 + -8c = 12 + 0 -12 + -8c = 12 Add '12' to each side of the equation. -12 + 12 + -8c = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -8c = 12 + 12 -8c = 12 + 12 Combine like terms: 12 + 12 = 24 -8c = 24 Divide each side by '-8'. c = -3 Simplifying c = -3
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