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Simplifying -84 = 4(4k + -1) Reorder the terms: -84 = 4(-1 + 4k) -84 = (-1 * 4 + 4k * 4) -84 = (-4 + 16k) Solving -84 = -4 + 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. -84 + -16k = -4 + 16k + -16k Combine like terms: 16k + -16k = 0 -84 + -16k = -4 + 0 -84 + -16k = -4 Add '84' to each side of the equation. -84 + 84 + -16k = -4 + 84 Combine like terms: -84 + 84 = 0 0 + -16k = -4 + 84 -16k = -4 + 84 Combine like terms: -4 + 84 = 80 -16k = 80 Divide each side by '-16'. k = -5 Simplifying k = -5
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