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Simplifying 10 + -5c = 1 + -1c + 1 + 2c Reorder the terms: 10 + -5c = 1 + 1 + -1c + 2c Combine like terms: 1 + 1 = 2 10 + -5c = 2 + -1c + 2c Combine like terms: -1c + 2c = 1c 10 + -5c = 2 + 1c Solving 10 + -5c = 2 + 1c 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. 10 + -5c + -1c = 2 + 1c + -1c Combine like terms: -5c + -1c = -6c 10 + -6c = 2 + 1c + -1c Combine like terms: 1c + -1c = 0 10 + -6c = 2 + 0 10 + -6c = 2 Add '-10' to each side of the equation. 10 + -10 + -6c = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -6c = 2 + -10 -6c = 2 + -10 Combine like terms: 2 + -10 = -8 -6c = -8 Divide each side by '-6'. c = 1.333333333 Simplifying c = 1.333333333
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