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Simplifying 2(3k + 1) + -5 = 2k + 5 Reorder the terms: 2(1 + 3k) + -5 = 2k + 5 (1 * 2 + 3k * 2) + -5 = 2k + 5 (2 + 6k) + -5 = 2k + 5 Reorder the terms: 2 + -5 + 6k = 2k + 5 Combine like terms: 2 + -5 = -3 -3 + 6k = 2k + 5 Reorder the terms: -3 + 6k = 5 + 2k Solving -3 + 6k = 5 + 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. -3 + 6k + -2k = 5 + 2k + -2k Combine like terms: 6k + -2k = 4k -3 + 4k = 5 + 2k + -2k Combine like terms: 2k + -2k = 0 -3 + 4k = 5 + 0 -3 + 4k = 5 Add '3' to each side of the equation. -3 + 3 + 4k = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 4k = 5 + 3 4k = 5 + 3 Combine like terms: 5 + 3 = 8 4k = 8 Divide each side by '4'. k = 2 Simplifying k = 2
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