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Simplifying 8(-1k + 4) + 5 = 0 Reorder the terms: 8(4 + -1k) + 5 = 0 (4 * 8 + -1k * 8) + 5 = 0 (32 + -8k) + 5 = 0 Reorder the terms: 32 + 5 + -8k = 0 Combine like terms: 32 + 5 = 37 37 + -8k = 0 Solving 37 + -8k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + -8k = 0 + -37 Combine like terms: 37 + -37 = 0 0 + -8k = 0 + -37 -8k = 0 + -37 Combine like terms: 0 + -37 = -37 -8k = -37 Divide each side by '-8'. k = 4.625 Simplifying k = 4.625
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