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Simplifying -84 = 2(-4 + -5k) + 4 -84 = (-4 * 2 + -5k * 2) + 4 -84 = (-8 + -10k) + 4 Reorder the terms: -84 = -8 + 4 + -10k Combine like terms: -8 + 4 = -4 -84 = -4 + -10k Solving -84 = -4 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. -84 + 10k = -4 + -10k + 10k Combine like terms: -10k + 10k = 0 -84 + 10k = -4 + 0 -84 + 10k = -4 Add '84' to each side of the equation. -84 + 84 + 10k = -4 + 84 Combine like terms: -84 + 84 = 0 0 + 10k = -4 + 84 10k = -4 + 84 Combine like terms: -4 + 84 = 80 10k = 80 Divide each side by '10'. k = 8 Simplifying k = 8
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