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Simplifying 5c + -25 = 6c + -42 Reorder the terms: -25 + 5c = 6c + -42 Reorder the terms: -25 + 5c = -42 + 6c Solving -25 + 5c = -42 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -25 + 5c + -6c = -42 + 6c + -6c Combine like terms: 5c + -6c = -1c -25 + -1c = -42 + 6c + -6c Combine like terms: 6c + -6c = 0 -25 + -1c = -42 + 0 -25 + -1c = -42 Add '25' to each side of the equation. -25 + 25 + -1c = -42 + 25 Combine like terms: -25 + 25 = 0 0 + -1c = -42 + 25 -1c = -42 + 25 Combine like terms: -42 + 25 = -17 -1c = -17 Divide each side by '-1'. c = 17 Simplifying c = 17
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