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Simplifying 5(k + -2) = 10(3k + 5) Reorder the terms: 5(-2 + k) = 10(3k + 5) (-2 * 5 + k * 5) = 10(3k + 5) (-10 + 5k) = 10(3k + 5) Reorder the terms: -10 + 5k = 10(5 + 3k) -10 + 5k = (5 * 10 + 3k * 10) -10 + 5k = (50 + 30k) Solving -10 + 5k = 50 + 30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30k' to each side of the equation. -10 + 5k + -30k = 50 + 30k + -30k Combine like terms: 5k + -30k = -25k -10 + -25k = 50 + 30k + -30k Combine like terms: 30k + -30k = 0 -10 + -25k = 50 + 0 -10 + -25k = 50 Add '10' to each side of the equation. -10 + 10 + -25k = 50 + 10 Combine like terms: -10 + 10 = 0 0 + -25k = 50 + 10 -25k = 50 + 10 Combine like terms: 50 + 10 = 60 -25k = 60 Divide each side by '-25'. k = -2.4 Simplifying k = -2.4
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