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Simplifying 2.5c + 4.5c + -6 = c + 7 Reorder the terms: -6 + 2.5c + 4.5c = c + 7 Combine like terms: 2.5c + 4.5c = 7c -6 + 7c = c + 7 Reorder the terms: -6 + 7c = 7 + c Solving -6 + 7c = 7 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. -6 + 7c + -1c = 7 + c + -1c Combine like terms: 7c + -1c = 6c -6 + 6c = 7 + c + -1c Combine like terms: c + -1c = 0 -6 + 6c = 7 + 0 -6 + 6c = 7 Add '6' to each side of the equation. -6 + 6 + 6c = 7 + 6 Combine like terms: -6 + 6 = 0 0 + 6c = 7 + 6 6c = 7 + 6 Combine like terms: 7 + 6 = 13 6c = 13 Divide each side by '6'. c = 2.166666667 Simplifying c = 2.166666667
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