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Simplifying 6(c + 3) + -2c = (c + -5) + 3 Reorder the terms: 6(3 + c) + -2c = (c + -5) + 3 (3 * 6 + c * 6) + -2c = (c + -5) + 3 (18 + 6c) + -2c = (c + -5) + 3 Combine like terms: 6c + -2c = 4c 18 + 4c = (c + -5) + 3 Reorder the terms: 18 + 4c = (-5 + c) + 3 Remove parenthesis around (-5 + c) 18 + 4c = -5 + c + 3 Reorder the terms: 18 + 4c = -5 + 3 + c Combine like terms: -5 + 3 = -2 18 + 4c = -2 + c Solving 18 + 4c = -2 + 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. 18 + 4c + -1c = -2 + c + -1c Combine like terms: 4c + -1c = 3c 18 + 3c = -2 + c + -1c Combine like terms: c + -1c = 0 18 + 3c = -2 + 0 18 + 3c = -2 Add '-18' to each side of the equation. 18 + -18 + 3c = -2 + -18 Combine like terms: 18 + -18 = 0 0 + 3c = -2 + -18 3c = -2 + -18 Combine like terms: -2 + -18 = -20 3c = -20 Divide each side by '3'. c = -6.666666667 Simplifying c = -6.666666667
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