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Simplifying 84 = 8(3k + -5) + 4 Reorder the terms: 84 = 8(-5 + 3k) + 4 84 = (-5 * 8 + 3k * 8) + 4 84 = (-40 + 24k) + 4 Reorder the terms: 84 = -40 + 4 + 24k Combine like terms: -40 + 4 = -36 84 = -36 + 24k Solving 84 = -36 + 24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24k' to each side of the equation. 84 + -24k = -36 + 24k + -24k Combine like terms: 24k + -24k = 0 84 + -24k = -36 + 0 84 + -24k = -36 Add '-84' to each side of the equation. 84 + -84 + -24k = -36 + -84 Combine like terms: 84 + -84 = 0 0 + -24k = -36 + -84 -24k = -36 + -84 Combine like terms: -36 + -84 = -120 -24k = -120 Divide each side by '-24'. k = 5 Simplifying k = 5
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