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Simplifying 4(-9k + 2) = k + 5 Reorder the terms: 4(2 + -9k) = k + 5 (2 * 4 + -9k * 4) = k + 5 (8 + -36k) = k + 5 Reorder the terms: 8 + -36k = 5 + k Solving 8 + -36k = 5 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 8 + -36k + -1k = 5 + k + -1k Combine like terms: -36k + -1k = -37k 8 + -37k = 5 + k + -1k Combine like terms: k + -1k = 0 8 + -37k = 5 + 0 8 + -37k = 5 Add '-8' to each side of the equation. 8 + -8 + -37k = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -37k = 5 + -8 -37k = 5 + -8 Combine like terms: 5 + -8 = -3 -37k = -3 Divide each side by '-37'. k = 0.08108108108 Simplifying k = 0.08108108108
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