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Simplifying 4(k + 5) = 8(k + -1) Reorder the terms: 4(5 + k) = 8(k + -1) (5 * 4 + k * 4) = 8(k + -1) (20 + 4k) = 8(k + -1) Reorder the terms: 20 + 4k = 8(-1 + k) 20 + 4k = (-1 * 8 + k * 8) 20 + 4k = (-8 + 8k) Solving 20 + 4k = -8 + 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. 20 + 4k + -8k = -8 + 8k + -8k Combine like terms: 4k + -8k = -4k 20 + -4k = -8 + 8k + -8k Combine like terms: 8k + -8k = 0 20 + -4k = -8 + 0 20 + -4k = -8 Add '-20' to each side of the equation. 20 + -20 + -4k = -8 + -20 Combine like terms: 20 + -20 = 0 0 + -4k = -8 + -20 -4k = -8 + -20 Combine like terms: -8 + -20 = -28 -4k = -28 Divide each side by '-4'. k = 7 Simplifying k = 7
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