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Simplifying -18 = 9 + 4(k + -5) Reorder the terms: -18 = 9 + 4(-5 + k) -18 = 9 + (-5 * 4 + k * 4) -18 = 9 + (-20 + 4k) Combine like terms: 9 + -20 = -11 -18 = -11 + 4k Solving -18 = -11 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -18 + -4k = -11 + 4k + -4k Combine like terms: 4k + -4k = 0 -18 + -4k = -11 + 0 -18 + -4k = -11 Add '18' to each side of the equation. -18 + 18 + -4k = -11 + 18 Combine like terms: -18 + 18 = 0 0 + -4k = -11 + 18 -4k = -11 + 18 Combine like terms: -11 + 18 = 7 -4k = 7 Divide each side by '-4'. k = -1.75 Simplifying k = -1.75
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