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Simplifying -14 = 3 + -1c + (19 + 5c) Remove parenthesis around (19 + 5c) -14 = 3 + -1c + 19 + 5c Reorder the terms: -14 = 3 + 19 + -1c + 5c Combine like terms: 3 + 19 = 22 -14 = 22 + -1c + 5c Combine like terms: -1c + 5c = 4c -14 = 22 + 4c Solving -14 = 22 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -14 + -4c = 22 + 4c + -4c Combine like terms: 4c + -4c = 0 -14 + -4c = 22 + 0 -14 + -4c = 22 Add '14' to each side of the equation. -14 + 14 + -4c = 22 + 14 Combine like terms: -14 + 14 = 0 0 + -4c = 22 + 14 -4c = 22 + 14 Combine like terms: 22 + 14 = 36 -4c = 36 Divide each side by '-4'. c = -9 Simplifying c = -9
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