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Simplifying 7c + -10 = c + 44 Reorder the terms: -10 + 7c = c + 44 Reorder the terms: -10 + 7c = 44 + c Solving -10 + 7c = 44 + 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. -10 + 7c + -1c = 44 + c + -1c Combine like terms: 7c + -1c = 6c -10 + 6c = 44 + c + -1c Combine like terms: c + -1c = 0 -10 + 6c = 44 + 0 -10 + 6c = 44 Add '10' to each side of the equation. -10 + 10 + 6c = 44 + 10 Combine like terms: -10 + 10 = 0 0 + 6c = 44 + 10 6c = 44 + 10 Combine like terms: 44 + 10 = 54 6c = 54 Divide each side by '6'. c = 9 Simplifying c = 9
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