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Simplifying 8(c + -3) + 5 = 2 + c + -21 Reorder the terms: 8(-3 + c) + 5 = 2 + c + -21 (-3 * 8 + c * 8) + 5 = 2 + c + -21 (-24 + 8c) + 5 = 2 + c + -21 Reorder the terms: -24 + 5 + 8c = 2 + c + -21 Combine like terms: -24 + 5 = -19 -19 + 8c = 2 + c + -21 Reorder the terms: -19 + 8c = 2 + -21 + c Combine like terms: 2 + -21 = -19 -19 + 8c = -19 + c Add '19' to each side of the equation. -19 + 19 + 8c = -19 + 19 + c Combine like terms: -19 + 19 = 0 0 + 8c = -19 + 19 + c 8c = -19 + 19 + c Combine like terms: -19 + 19 = 0 8c = 0 + c 8c = c Solving 8c = 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. 8c + -1c = c + -1c Combine like terms: 8c + -1c = 7c 7c = c + -1c Combine like terms: c + -1c = 0 7c = 0 Divide each side by '7'. c = 0 Simplifying c = 0
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