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Simplifying -1(6 + -4c) + 3c = 10 + -2(c + -1) (6 * -1 + -4c * -1) + 3c = 10 + -2(c + -1) (-6 + 4c) + 3c = 10 + -2(c + -1) Combine like terms: 4c + 3c = 7c -6 + 7c = 10 + -2(c + -1) Reorder the terms: -6 + 7c = 10 + -2(-1 + c) -6 + 7c = 10 + (-1 * -2 + c * -2) -6 + 7c = 10 + (2 + -2c) Combine like terms: 10 + 2 = 12 -6 + 7c = 12 + -2c Solving -6 + 7c = 12 + -2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2c' to each side of the equation. -6 + 7c + 2c = 12 + -2c + 2c Combine like terms: 7c + 2c = 9c -6 + 9c = 12 + -2c + 2c Combine like terms: -2c + 2c = 0 -6 + 9c = 12 + 0 -6 + 9c = 12 Add '6' to each side of the equation. -6 + 6 + 9c = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 9c = 12 + 6 9c = 12 + 6 Combine like terms: 12 + 6 = 18 9c = 18 Divide each side by '9'. c = 2 Simplifying c = 2
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