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Simplifying 10 + 5 = 7 + c Combine like terms: 10 + 5 = 15 15 = 7 + c Solving 15 = 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. 15 + -1c = 7 + c + -1c Combine like terms: c + -1c = 0 15 + -1c = 7 + 0 15 + -1c = 7 Add '-15' to each side of the equation. 15 + -15 + -1c = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -1c = 7 + -15 -1c = 7 + -15 Combine like terms: 7 + -15 = -8 -1c = -8 Divide each side by '-1'. c = 8 Simplifying c = 8
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