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Simplifying 10(c + -5) + 7 = 6 + c + -49 Reorder the terms: 10(-5 + c) + 7 = 6 + c + -49 (-5 * 10 + c * 10) + 7 = 6 + c + -49 (-50 + 10c) + 7 = 6 + c + -49 Reorder the terms: -50 + 7 + 10c = 6 + c + -49 Combine like terms: -50 + 7 = -43 -43 + 10c = 6 + c + -49 Reorder the terms: -43 + 10c = 6 + -49 + c Combine like terms: 6 + -49 = -43 -43 + 10c = -43 + c Add '43' to each side of the equation. -43 + 43 + 10c = -43 + 43 + c Combine like terms: -43 + 43 = 0 0 + 10c = -43 + 43 + c 10c = -43 + 43 + c Combine like terms: -43 + 43 = 0 10c = 0 + c 10c = c Solving 10c = 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. 10c + -1c = c + -1c Combine like terms: 10c + -1c = 9c 9c = c + -1c Combine like terms: c + -1c = 0 9c = 0 Divide each side by '9'. c = 0 Simplifying c = 0
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