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Simplifying 2c + 5 + -1c = 4 + 5c + -19 Reorder the terms: 5 + 2c + -1c = 4 + 5c + -19 Combine like terms: 2c + -1c = 1c 5 + 1c = 4 + 5c + -19 Reorder the terms: 5 + 1c = 4 + -19 + 5c Combine like terms: 4 + -19 = -15 5 + 1c = -15 + 5c Solving 5 + 1c = -15 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 5 + 1c + -5c = -15 + 5c + -5c Combine like terms: 1c + -5c = -4c 5 + -4c = -15 + 5c + -5c Combine like terms: 5c + -5c = 0 5 + -4c = -15 + 0 5 + -4c = -15 Add '-5' to each side of the equation. 5 + -5 + -4c = -15 + -5 Combine like terms: 5 + -5 = 0 0 + -4c = -15 + -5 -4c = -15 + -5 Combine like terms: -15 + -5 = -20 -4c = -20 Divide each side by '-4'. c = 5 Simplifying c = 5
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