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Simplifying 5(k + -8) + -2(k + -1) = 2k + -9 Reorder the terms: 5(-8 + k) + -2(k + -1) = 2k + -9 (-8 * 5 + k * 5) + -2(k + -1) = 2k + -9 (-40 + 5k) + -2(k + -1) = 2k + -9 Reorder the terms: -40 + 5k + -2(-1 + k) = 2k + -9 -40 + 5k + (-1 * -2 + k * -2) = 2k + -9 -40 + 5k + (2 + -2k) = 2k + -9 Reorder the terms: -40 + 2 + 5k + -2k = 2k + -9 Combine like terms: -40 + 2 = -38 -38 + 5k + -2k = 2k + -9 Combine like terms: 5k + -2k = 3k -38 + 3k = 2k + -9 Reorder the terms: -38 + 3k = -9 + 2k Solving -38 + 3k = -9 + 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. -38 + 3k + -2k = -9 + 2k + -2k Combine like terms: 3k + -2k = 1k -38 + 1k = -9 + 2k + -2k Combine like terms: 2k + -2k = 0 -38 + 1k = -9 + 0 -38 + 1k = -9 Add '38' to each side of the equation. -38 + 38 + 1k = -9 + 38 Combine like terms: -38 + 38 = 0 0 + 1k = -9 + 38 1k = -9 + 38 Combine like terms: -9 + 38 = 29 1k = 29 Divide each side by '1'. k = 29 Simplifying k = 29
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