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Simplifying 4(k + -4) = 8(k + 1) Reorder the terms: 4(-4 + k) = 8(k + 1) (-4 * 4 + k * 4) = 8(k + 1) (-16 + 4k) = 8(k + 1) Reorder the terms: -16 + 4k = 8(1 + k) -16 + 4k = (1 * 8 + k * 8) -16 + 4k = (8 + 8k) Solving -16 + 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. -16 + 4k + -8k = 8 + 8k + -8k Combine like terms: 4k + -8k = -4k -16 + -4k = 8 + 8k + -8k Combine like terms: 8k + -8k = 0 -16 + -4k = 8 + 0 -16 + -4k = 8 Add '16' to each side of the equation. -16 + 16 + -4k = 8 + 16 Combine like terms: -16 + 16 = 0 0 + -4k = 8 + 16 -4k = 8 + 16 Combine like terms: 8 + 16 = 24 -4k = 24 Divide each side by '-4'. k = -6 Simplifying k = -6
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