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Simplifying 8(c + -4) + 9 = 5 + c + -28 Reorder the terms: 8(-4 + c) + 9 = 5 + c + -28 (-4 * 8 + c * 8) + 9 = 5 + c + -28 (-32 + 8c) + 9 = 5 + c + -28 Reorder the terms: -32 + 9 + 8c = 5 + c + -28 Combine like terms: -32 + 9 = -23 -23 + 8c = 5 + c + -28 Reorder the terms: -23 + 8c = 5 + -28 + c Combine like terms: 5 + -28 = -23 -23 + 8c = -23 + c Add '23' to each side of the equation. -23 + 23 + 8c = -23 + 23 + c Combine like terms: -23 + 23 = 0 0 + 8c = -23 + 23 + c 8c = -23 + 23 + c Combine like terms: -23 + 23 = 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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