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Simplifying -6 + 7c + 4 = 5 + 8c Reorder the terms: -6 + 4 + 7c = 5 + 8c Combine like terms: -6 + 4 = -2 -2 + 7c = 5 + 8c Solving -2 + 7c = 5 + 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. -2 + 7c + -8c = 5 + 8c + -8c Combine like terms: 7c + -8c = -1c -2 + -1c = 5 + 8c + -8c Combine like terms: 8c + -8c = 0 -2 + -1c = 5 + 0 -2 + -1c = 5 Add '2' to each side of the equation. -2 + 2 + -1c = 5 + 2 Combine like terms: -2 + 2 = 0 0 + -1c = 5 + 2 -1c = 5 + 2 Combine like terms: 5 + 2 = 7 -1c = 7 Divide each side by '-1'. c = -7 Simplifying c = -7
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