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Simplifying 2(k + -3) + -5 = 13 + -4k Reorder the terms: 2(-3 + k) + -5 = 13 + -4k (-3 * 2 + k * 2) + -5 = 13 + -4k (-6 + 2k) + -5 = 13 + -4k Reorder the terms: -6 + -5 + 2k = 13 + -4k Combine like terms: -6 + -5 = -11 -11 + 2k = 13 + -4k Solving -11 + 2k = 13 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -11 + 2k + 4k = 13 + -4k + 4k Combine like terms: 2k + 4k = 6k -11 + 6k = 13 + -4k + 4k Combine like terms: -4k + 4k = 0 -11 + 6k = 13 + 0 -11 + 6k = 13 Add '11' to each side of the equation. -11 + 11 + 6k = 13 + 11 Combine like terms: -11 + 11 = 0 0 + 6k = 13 + 11 6k = 13 + 11 Combine like terms: 13 + 11 = 24 6k = 24 Divide each side by '6'. k = 4 Simplifying k = 4
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