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Simplifying 74 = 8(c + 4) + -4 Reorder the terms: 74 = 8(4 + c) + -4 74 = (4 * 8 + c * 8) + -4 74 = (32 + 8c) + -4 Reorder the terms: 74 = 32 + -4 + 8c Combine like terms: 32 + -4 = 28 74 = 28 + 8c Solving 74 = 28 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 74 + -8c = 28 + 8c + -8c Combine like terms: 8c + -8c = 0 74 + -8c = 28 + 0 74 + -8c = 28 Add '-74' to each side of the equation. 74 + -74 + -8c = 28 + -74 Combine like terms: 74 + -74 = 0 0 + -8c = 28 + -74 -8c = 28 + -74 Combine like terms: 28 + -74 = -46 -8c = -46 Divide each side by '-8'. c = 5.75 Simplifying c = 5.75
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