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Simplifying 3 = 4(k + -16) + -5 Reorder the terms: 3 = 4(-16 + k) + -5 3 = (-16 * 4 + k * 4) + -5 3 = (-64 + 4k) + -5 Reorder the terms: 3 = -64 + -5 + 4k Combine like terms: -64 + -5 = -69 3 = -69 + 4k Solving 3 = -69 + 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. 3 + -4k = -69 + 4k + -4k Combine like terms: 4k + -4k = 0 3 + -4k = -69 + 0 3 + -4k = -69 Add '-3' to each side of the equation. 3 + -3 + -4k = -69 + -3 Combine like terms: 3 + -3 = 0 0 + -4k = -69 + -3 -4k = -69 + -3 Combine like terms: -69 + -3 = -72 -4k = -72 Divide each side by '-4'. k = 18 Simplifying k = 18
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