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Simplifying 10 + -2c + 6 = c + -2 Reorder the terms: 10 + 6 + -2c = c + -2 Combine like terms: 10 + 6 = 16 16 + -2c = c + -2 Reorder the terms: 16 + -2c = -2 + c Solving 16 + -2c = -2 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 16 + -2c + -1c = -2 + c + -1c Combine like terms: -2c + -1c = -3c 16 + -3c = -2 + c + -1c Combine like terms: c + -1c = 0 16 + -3c = -2 + 0 16 + -3c = -2 Add '-16' to each side of the equation. 16 + -16 + -3c = -2 + -16 Combine like terms: 16 + -16 = 0 0 + -3c = -2 + -16 -3c = -2 + -16 Combine like terms: -2 + -16 = -18 -3c = -18 Divide each side by '-3'. c = 6 Simplifying c = 6
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