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Simplifying 6c + -1(7 + 3c) = (3 + c) + -10 6c + (7 * -1 + 3c * -1) = (3 + c) + -10 6c + (-7 + -3c) = (3 + c) + -10 Reorder the terms: -7 + 6c + -3c = (3 + c) + -10 Combine like terms: 6c + -3c = 3c -7 + 3c = (3 + c) + -10 Remove parenthesis around (3 + c) -7 + 3c = 3 + c + -10 Reorder the terms: -7 + 3c = 3 + -10 + c Combine like terms: 3 + -10 = -7 -7 + 3c = -7 + c Add '7' to each side of the equation. -7 + 7 + 3c = -7 + 7 + c Combine like terms: -7 + 7 = 0 0 + 3c = -7 + 7 + c 3c = -7 + 7 + c Combine like terms: -7 + 7 = 0 3c = 0 + c 3c = c Solving 3c = 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. 3c + -1c = c + -1c Combine like terms: 3c + -1c = 2c 2c = c + -1c Combine like terms: c + -1c = 0 2c = 0 Divide each side by '2'. c = 0 Simplifying c = 0
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