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Simplifying 10(c + -5) + 5 = 2 + c + -47 Reorder the terms: 10(-5 + c) + 5 = 2 + c + -47 (-5 * 10 + c * 10) + 5 = 2 + c + -47 (-50 + 10c) + 5 = 2 + c + -47 Reorder the terms: -50 + 5 + 10c = 2 + c + -47 Combine like terms: -50 + 5 = -45 -45 + 10c = 2 + c + -47 Reorder the terms: -45 + 10c = 2 + -47 + c Combine like terms: 2 + -47 = -45 -45 + 10c = -45 + c Add '45' to each side of the equation. -45 + 45 + 10c = -45 + 45 + c Combine like terms: -45 + 45 = 0 0 + 10c = -45 + 45 + c 10c = -45 + 45 + c Combine like terms: -45 + 45 = 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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