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Simplifying -12 + 4k = 8(1 + k) -12 + 4k = (1 * 8 + k * 8) -12 + 4k = (8 + 8k) Solving -12 + 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. -12 + 4k + -8k = 8 + 8k + -8k Combine like terms: 4k + -8k = -4k -12 + -4k = 8 + 8k + -8k Combine like terms: 8k + -8k = 0 -12 + -4k = 8 + 0 -12 + -4k = 8 Add '12' to each side of the equation. -12 + 12 + -4k = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -4k = 8 + 12 -4k = 8 + 12 Combine like terms: 8 + 12 = 20 -4k = 20 Divide each side by '-4'. k = -5 Simplifying k = -5
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