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Simplifying -15 + 2c = 20 + 3c + -17 Reorder the terms: -15 + 2c = 20 + -17 + 3c Combine like terms: 20 + -17 = 3 -15 + 2c = 3 + 3c Solving -15 + 2c = 3 + 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. -15 + 2c + -3c = 3 + 3c + -3c Combine like terms: 2c + -3c = -1c -15 + -1c = 3 + 3c + -3c Combine like terms: 3c + -3c = 0 -15 + -1c = 3 + 0 -15 + -1c = 3 Add '15' to each side of the equation. -15 + 15 + -1c = 3 + 15 Combine like terms: -15 + 15 = 0 0 + -1c = 3 + 15 -1c = 3 + 15 Combine like terms: 3 + 15 = 18 -1c = 18 Divide each side by '-1'. c = -18 Simplifying c = -18
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