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Simplifying 8(14 + -4) = 5k + -32 Combine like terms: 14 + -4 = 10 8(10) = 5k + -32 Multiply 8 * 10 80 = 5k + -32 Reorder the terms: 80 = -32 + 5k Solving 80 = -32 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 80 + -5k = -32 + 5k + -5k Combine like terms: 5k + -5k = 0 80 + -5k = -32 + 0 80 + -5k = -32 Add '-80' to each side of the equation. 80 + -80 + -5k = -32 + -80 Combine like terms: 80 + -80 = 0 0 + -5k = -32 + -80 -5k = -32 + -80 Combine like terms: -32 + -80 = -112 -5k = -112 Divide each side by '-5'. k = 22.4 Simplifying k = 22.4
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