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Simplifying 3(k + -5) + 1 = 10 Reorder the terms: 3(-5 + k) + 1 = 10 (-5 * 3 + k * 3) + 1 = 10 (-15 + 3k) + 1 = 10 Reorder the terms: -15 + 1 + 3k = 10 Combine like terms: -15 + 1 = -14 -14 + 3k = 10 Solving -14 + 3k = 10 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 3k = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 3k = 10 + 14 3k = 10 + 14 Combine like terms: 10 + 14 = 24 3k = 24 Divide each side by '3'. k = 8 Simplifying k = 8
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