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Simplifying 6 + -6c = -2(c + 5) Reorder the terms: 6 + -6c = -2(5 + c) 6 + -6c = (5 * -2 + c * -2) 6 + -6c = (-10 + -2c) Solving 6 + -6c = -10 + -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 + -6c + 2c = -10 + -2c + 2c Combine like terms: -6c + 2c = -4c 6 + -4c = -10 + -2c + 2c Combine like terms: -2c + 2c = 0 6 + -4c = -10 + 0 6 + -4c = -10 Add '-6' to each side of the equation. 6 + -6 + -4c = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -4c = -10 + -6 -4c = -10 + -6 Combine like terms: -10 + -6 = -16 -4c = -16 Divide each side by '-4'. c = 4 Simplifying c = 4
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