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Simplifying -84 = -4(5 + -2k) -84 = (5 * -4 + -2k * -4) -84 = (-20 + 8k) Solving -84 = -20 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -84 + -8k = -20 + 8k + -8k Combine like terms: 8k + -8k = 0 -84 + -8k = -20 + 0 -84 + -8k = -20 Add '84' to each side of the equation. -84 + 84 + -8k = -20 + 84 Combine like terms: -84 + 84 = 0 0 + -8k = -20 + 84 -8k = -20 + 84 Combine like terms: -20 + 84 = 64 -8k = 64 Divide each side by '-8'. k = -8 Simplifying k = -8
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