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Simplifying 6(c + -5) + 7 = 5 + c + -28 Reorder the terms: 6(-5 + c) + 7 = 5 + c + -28 (-5 * 6 + c * 6) + 7 = 5 + c + -28 (-30 + 6c) + 7 = 5 + c + -28 Reorder the terms: -30 + 7 + 6c = 5 + c + -28 Combine like terms: -30 + 7 = -23 -23 + 6c = 5 + c + -28 Reorder the terms: -23 + 6c = 5 + -28 + c Combine like terms: 5 + -28 = -23 -23 + 6c = -23 + c Add '23' to each side of the equation. -23 + 23 + 6c = -23 + 23 + c Combine like terms: -23 + 23 = 0 0 + 6c = -23 + 23 + c 6c = -23 + 23 + c Combine like terms: -23 + 23 = 0 6c = 0 + c 6c = c Solving 6c = 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. 6c + -1c = c + -1c Combine like terms: 6c + -1c = 5c 5c = c + -1c Combine like terms: c + -1c = 0 5c = 0 Divide each side by '5'. c = 0 Simplifying c = 0
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