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Simplifying 3(k + -10) = 2k + -5 Reorder the terms: 3(-10 + k) = 2k + -5 (-10 * 3 + k * 3) = 2k + -5 (-30 + 3k) = 2k + -5 Reorder the terms: -30 + 3k = -5 + 2k Solving -30 + 3k = -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. -30 + 3k + -2k = -5 + 2k + -2k Combine like terms: 3k + -2k = 1k -30 + 1k = -5 + 2k + -2k Combine like terms: 2k + -2k = 0 -30 + 1k = -5 + 0 -30 + 1k = -5 Add '30' to each side of the equation. -30 + 30 + 1k = -5 + 30 Combine like terms: -30 + 30 = 0 0 + 1k = -5 + 30 1k = -5 + 30 Combine like terms: -5 + 30 = 25 1k = 25 Divide each side by '1'. k = 25 Simplifying k = 25
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