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Simplifying 3c + 1 = 5c + -15 Reorder the terms: 1 + 3c = 5c + -15 Reorder the terms: 1 + 3c = -15 + 5c Solving 1 + 3c = -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. 1 + 3c + -5c = -15 + 5c + -5c Combine like terms: 3c + -5c = -2c 1 + -2c = -15 + 5c + -5c Combine like terms: 5c + -5c = 0 1 + -2c = -15 + 0 1 + -2c = -15 Add '-1' to each side of the equation. 1 + -1 + -2c = -15 + -1 Combine like terms: 1 + -1 = 0 0 + -2c = -15 + -1 -2c = -15 + -1 Combine like terms: -15 + -1 = -16 -2c = -16 Divide each side by '-2'. c = 8 Simplifying c = 8
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