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