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Simplifying 12c + (7 + -1c) + -1(5c + -3) = 0 Remove parenthesis around (7 + -1c) 12c + 7 + -1c + -1(5c + -3) = 0 Reorder the terms: 12c + 7 + -1c + -1(-3 + 5c) = 0 12c + 7 + -1c + (-3 * -1 + 5c * -1) = 0 12c + 7 + -1c + (3 + -5c) = 0 Reorder the terms: 7 + 3 + 12c + -1c + -5c = 0 Combine like terms: 7 + 3 = 10 10 + 12c + -1c + -5c = 0 Combine like terms: 12c + -1c = 11c 10 + 11c + -5c = 0 Combine like terms: 11c + -5c = 6c 10 + 6c = 0 Solving 10 + 6c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 6c = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 6c = 0 + -10 6c = 0 + -10 Combine like terms: 0 + -10 = -10 6c = -10 Divide each side by '6'. c = -1.666666667 Simplifying c = -1.666666667
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