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Simplifying 6c + -1(c + 2) = 3c + -10 Reorder the terms: 6c + -1(2 + c) = 3c + -10 6c + (2 * -1 + c * -1) = 3c + -10 6c + (-2 + -1c) = 3c + -10 Reorder the terms: -2 + 6c + -1c = 3c + -10 Combine like terms: 6c + -1c = 5c -2 + 5c = 3c + -10 Reorder the terms: -2 + 5c = -10 + 3c Solving -2 + 5c = -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. -2 + 5c + -3c = -10 + 3c + -3c Combine like terms: 5c + -3c = 2c -2 + 2c = -10 + 3c + -3c Combine like terms: 3c + -3c = 0 -2 + 2c = -10 + 0 -2 + 2c = -10 Add '2' to each side of the equation. -2 + 2 + 2c = -10 + 2 Combine like terms: -2 + 2 = 0 0 + 2c = -10 + 2 2c = -10 + 2 Combine like terms: -10 + 2 = -8 2c = -8 Divide each side by '2'. c = -4 Simplifying c = -4
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