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Simplifying -1(c + 6) = 3c + 14 Reorder the terms: -1(6 + c) = 3c + 14 (6 * -1 + c * -1) = 3c + 14 (-6 + -1c) = 3c + 14 Reorder the terms: -6 + -1c = 14 + 3c Solving -6 + -1c = 14 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -6 + -1c + -3c = 14 + 3c + -3c Combine like terms: -1c + -3c = -4c -6 + -4c = 14 + 3c + -3c Combine like terms: 3c + -3c = 0 -6 + -4c = 14 + 0 -6 + -4c = 14 Add '6' to each side of the equation. -6 + 6 + -4c = 14 + 6 Combine like terms: -6 + 6 = 0 0 + -4c = 14 + 6 -4c = 14 + 6 Combine like terms: 14 + 6 = 20 -4c = 20 Divide each side by '-4'. c = -5 Simplifying c = -5
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