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Simplifying 4(k + 4) + -8 = k + -2(k + 6) Reorder the terms: 4(4 + k) + -8 = k + -2(k + 6) (4 * 4 + k * 4) + -8 = k + -2(k + 6) (16 + 4k) + -8 = k + -2(k + 6) Reorder the terms: 16 + -8 + 4k = k + -2(k + 6) Combine like terms: 16 + -8 = 8 8 + 4k = k + -2(k + 6) Reorder the terms: 8 + 4k = k + -2(6 + k) 8 + 4k = k + (6 * -2 + k * -2) 8 + 4k = k + (-12 + -2k) Reorder the terms: 8 + 4k = -12 + k + -2k Combine like terms: k + -2k = -1k 8 + 4k = -12 + -1k Solving 8 + 4k = -12 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 8 + 4k + k = -12 + -1k + k Combine like terms: 4k + k = 5k 8 + 5k = -12 + -1k + k Combine like terms: -1k + k = 0 8 + 5k = -12 + 0 8 + 5k = -12 Add '-8' to each side of the equation. 8 + -8 + 5k = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 5k = -12 + -8 5k = -12 + -8 Combine like terms: -12 + -8 = -20 5k = -20 Divide each side by '5'. k = -4 Simplifying k = -4
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