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Simplifying 8 = 4(k + -2) + 4 Reorder the terms: 8 = 4(-2 + k) + 4 8 = (-2 * 4 + k * 4) + 4 8 = (-8 + 4k) + 4 Reorder the terms: 8 = -8 + 4 + 4k Combine like terms: -8 + 4 = -4 8 = -4 + 4k Solving 8 = -4 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 8 + -4k = -4 + 4k + -4k Combine like terms: 4k + -4k = 0 8 + -4k = -4 + 0 8 + -4k = -4 Add '-8' to each side of the equation. 8 + -8 + -4k = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -4k = -4 + -8 -4k = -4 + -8 Combine like terms: -4 + -8 = -12 -4k = -12 Divide each side by '-4'. k = 3 Simplifying k = 3
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