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Simplifying 7c + -42 = 8c + -56 Reorder the terms: -42 + 7c = 8c + -56 Reorder the terms: -42 + 7c = -56 + 8c Solving -42 + 7c = -56 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -42 + 7c + -8c = -56 + 8c + -8c Combine like terms: 7c + -8c = -1c -42 + -1c = -56 + 8c + -8c Combine like terms: 8c + -8c = 0 -42 + -1c = -56 + 0 -42 + -1c = -56 Add '42' to each side of the equation. -42 + 42 + -1c = -56 + 42 Combine like terms: -42 + 42 = 0 0 + -1c = -56 + 42 -1c = -56 + 42 Combine like terms: -56 + 42 = -14 -1c = -14 Divide each side by '-1'. c = 14 Simplifying c = 14
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