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Simplifying 3(2k + -5) + -1k = (3k + 7) Reorder the terms: 3(-5 + 2k) + -1k = (3k + 7) (-5 * 3 + 2k * 3) + -1k = (3k + 7) (-15 + 6k) + -1k = (3k + 7) Combine like terms: 6k + -1k = 5k -15 + 5k = (3k + 7) Reorder the terms: -15 + 5k = (7 + 3k) Remove parenthesis around (7 + 3k) -15 + 5k = 7 + 3k Solving -15 + 5k = 7 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -15 + 5k + -3k = 7 + 3k + -3k Combine like terms: 5k + -3k = 2k -15 + 2k = 7 + 3k + -3k Combine like terms: 3k + -3k = 0 -15 + 2k = 7 + 0 -15 + 2k = 7 Add '15' to each side of the equation. -15 + 15 + 2k = 7 + 15 Combine like terms: -15 + 15 = 0 0 + 2k = 7 + 15 2k = 7 + 15 Combine like terms: 7 + 15 = 22 2k = 22 Divide each side by '2'. k = 11 Simplifying k = 11
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