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Simplifying -12 + 2c + 4 = 3c + -10 Reorder the terms: -12 + 4 + 2c = 3c + -10 Combine like terms: -12 + 4 = -8 -8 + 2c = 3c + -10 Reorder the terms: -8 + 2c = -10 + 3c Solving -8 + 2c = -10 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -8 + 2c + -3c = -10 + 3c + -3c Combine like terms: 2c + -3c = -1c -8 + -1c = -10 + 3c + -3c Combine like terms: 3c + -3c = 0 -8 + -1c = -10 + 0 -8 + -1c = -10 Add '8' to each side of the equation. -8 + 8 + -1c = -10 + 8 Combine like terms: -8 + 8 = 0 0 + -1c = -10 + 8 -1c = -10 + 8 Combine like terms: -10 + 8 = -2 -1c = -2 Divide each side by '-1'. c = 2 Simplifying c = 2
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