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Simplifying 3(2k + -1) + -5k + -7 = 0 Reorder the terms: 3(-1 + 2k) + -5k + -7 = 0 (-1 * 3 + 2k * 3) + -5k + -7 = 0 (-3 + 6k) + -5k + -7 = 0 Reorder the terms: -3 + -7 + 6k + -5k = 0 Combine like terms: -3 + -7 = -10 -10 + 6k + -5k = 0 Combine like terms: 6k + -5k = 1k -10 + 1k = 0 Solving -10 + 1k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 1k = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 1k = 0 + 10 1k = 0 + 10 Combine like terms: 0 + 10 = 10 1k = 10 Divide each side by '1'. k = 10 Simplifying k = 10
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