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Simplifying 5k + -3 = 2(k + 5) Reorder the terms: -3 + 5k = 2(k + 5) Reorder the terms: -3 + 5k = 2(5 + k) -3 + 5k = (5 * 2 + k * 2) -3 + 5k = (10 + 2k) Solving -3 + 5k = 10 + 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. -3 + 5k + -2k = 10 + 2k + -2k Combine like terms: 5k + -2k = 3k -3 + 3k = 10 + 2k + -2k Combine like terms: 2k + -2k = 0 -3 + 3k = 10 + 0 -3 + 3k = 10 Add '3' to each side of the equation. -3 + 3 + 3k = 10 + 3 Combine like terms: -3 + 3 = 0 0 + 3k = 10 + 3 3k = 10 + 3 Combine like terms: 10 + 3 = 13 3k = 13 Divide each side by '3'. k = 4.333333333 Simplifying k = 4.333333333
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