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Simplifying 8 + -2(2k + 9) + 2(7 + k) = 2 Reorder the terms: 8 + -2(9 + 2k) + 2(7 + k) = 2 8 + (9 * -2 + 2k * -2) + 2(7 + k) = 2 8 + (-18 + -4k) + 2(7 + k) = 2 8 + -18 + -4k + (7 * 2 + k * 2) = 2 8 + -18 + -4k + (14 + 2k) = 2 Reorder the terms: 8 + -18 + 14 + -4k + 2k = 2 Combine like terms: 8 + -18 = -10 -10 + 14 + -4k + 2k = 2 Combine like terms: -10 + 14 = 4 4 + -4k + 2k = 2 Combine like terms: -4k + 2k = -2k 4 + -2k = 2 Solving 4 + -2k = 2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -2k = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -2k = 2 + -4 -2k = 2 + -4 Combine like terms: 2 + -4 = -2 -2k = -2 Divide each side by '-2'. k = 1 Simplifying k = 1
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