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Simplifying 6k + -16 = 2(k + 8) Reorder the terms: -16 + 6k = 2(k + 8) Reorder the terms: -16 + 6k = 2(8 + k) -16 + 6k = (8 * 2 + k * 2) -16 + 6k = (16 + 2k) Solving -16 + 6k = 16 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -16 + 6k + -2k = 16 + 2k + -2k Combine like terms: 6k + -2k = 4k -16 + 4k = 16 + 2k + -2k Combine like terms: 2k + -2k = 0 -16 + 4k = 16 + 0 -16 + 4k = 16 Add '16' to each side of the equation. -16 + 16 + 4k = 16 + 16 Combine like terms: -16 + 16 = 0 0 + 4k = 16 + 16 4k = 16 + 16 Combine like terms: 16 + 16 = 32 4k = 32 Divide each side by '4'. k = 8 Simplifying k = 8
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