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Simplifying -8(2k + -2) + -2(k + 8) = -36 Reorder the terms: -8(-2 + 2k) + -2(k + 8) = -36 (-2 * -8 + 2k * -8) + -2(k + 8) = -36 (16 + -16k) + -2(k + 8) = -36 Reorder the terms: 16 + -16k + -2(8 + k) = -36 16 + -16k + (8 * -2 + k * -2) = -36 16 + -16k + (-16 + -2k) = -36 Reorder the terms: 16 + -16 + -16k + -2k = -36 Combine like terms: 16 + -16 = 0 0 + -16k + -2k = -36 -16k + -2k = -36 Combine like terms: -16k + -2k = -18k -18k = -36 Solving -18k = -36 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by '-18'. k = 2 Simplifying k = 2
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