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Simplifying 4(k + -4) + -8 = 8(k + 1) Reorder the terms: 4(-4 + k) + -8 = 8(k + 1) (-4 * 4 + k * 4) + -8 = 8(k + 1) (-16 + 4k) + -8 = 8(k + 1) Reorder the terms: -16 + -8 + 4k = 8(k + 1) Combine like terms: -16 + -8 = -24 -24 + 4k = 8(k + 1) Reorder the terms: -24 + 4k = 8(1 + k) -24 + 4k = (1 * 8 + k * 8) -24 + 4k = (8 + 8k) Solving -24 + 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. -24 + 4k + -8k = 8 + 8k + -8k Combine like terms: 4k + -8k = -4k -24 + -4k = 8 + 8k + -8k Combine like terms: 8k + -8k = 0 -24 + -4k = 8 + 0 -24 + -4k = 8 Add '24' to each side of the equation. -24 + 24 + -4k = 8 + 24 Combine like terms: -24 + 24 = 0 0 + -4k = 8 + 24 -4k = 8 + 24 Combine like terms: 8 + 24 = 32 -4k = 32 Divide each side by '-4'. k = -8 Simplifying k = -8
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