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Simplifying 8 + -3(2k + 9) + 2(7 + k) = 2 Reorder the terms: 8 + -3(9 + 2k) + 2(7 + k) = 2 8 + (9 * -3 + 2k * -3) + 2(7 + k) = 2 8 + (-27 + -6k) + 2(7 + k) = 2 8 + -27 + -6k + (7 * 2 + k * 2) = 2 8 + -27 + -6k + (14 + 2k) = 2 Reorder the terms: 8 + -27 + 14 + -6k + 2k = 2 Combine like terms: 8 + -27 = -19 -19 + 14 + -6k + 2k = 2 Combine like terms: -19 + 14 = -5 -5 + -6k + 2k = 2 Combine like terms: -6k + 2k = -4k -5 + -4k = 2 Solving -5 + -4k = 2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -4k = 2 + 5 Combine like terms: -5 + 5 = 0 0 + -4k = 2 + 5 -4k = 2 + 5 Combine like terms: 2 + 5 = 7 -4k = 7 Divide each side by '-4'. k = -1.75 Simplifying k = -1.75
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