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Simplifying 6(c + -4) + 5 = 4 + c + -23 Reorder the terms: 6(-4 + c) + 5 = 4 + c + -23 (-4 * 6 + c * 6) + 5 = 4 + c + -23 (-24 + 6c) + 5 = 4 + c + -23 Reorder the terms: -24 + 5 + 6c = 4 + c + -23 Combine like terms: -24 + 5 = -19 -19 + 6c = 4 + c + -23 Reorder the terms: -19 + 6c = 4 + -23 + c Combine like terms: 4 + -23 = -19 -19 + 6c = -19 + c Add '19' to each side of the equation. -19 + 19 + 6c = -19 + 19 + c Combine like terms: -19 + 19 = 0 0 + 6c = -19 + 19 + c 6c = -19 + 19 + c Combine like terms: -19 + 19 = 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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