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Simplifying 2(k + -8) = -2k + 12 Reorder the terms: 2(-8 + k) = -2k + 12 (-8 * 2 + k * 2) = -2k + 12 (-16 + 2k) = -2k + 12 Reorder the terms: -16 + 2k = 12 + -2k Solving -16 + 2k = 12 + -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 + 2k + 2k = 12 + -2k + 2k Combine like terms: 2k + 2k = 4k -16 + 4k = 12 + -2k + 2k Combine like terms: -2k + 2k = 0 -16 + 4k = 12 + 0 -16 + 4k = 12 Add '16' to each side of the equation. -16 + 16 + 4k = 12 + 16 Combine like terms: -16 + 16 = 0 0 + 4k = 12 + 16 4k = 12 + 16 Combine like terms: 12 + 16 = 28 4k = 28 Divide each side by '4'. k = 7 Simplifying k = 7
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