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Simplifying 5k + -3 = 4 + 2(k + 5) Reorder the terms: -3 + 5k = 4 + 2(k + 5) Reorder the terms: -3 + 5k = 4 + 2(5 + k) -3 + 5k = 4 + (5 * 2 + k * 2) -3 + 5k = 4 + (10 + 2k) Combine like terms: 4 + 10 = 14 -3 + 5k = 14 + 2k Solving -3 + 5k = 14 + 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 = 14 + 2k + -2k Combine like terms: 5k + -2k = 3k -3 + 3k = 14 + 2k + -2k Combine like terms: 2k + -2k = 0 -3 + 3k = 14 + 0 -3 + 3k = 14 Add '3' to each side of the equation. -3 + 3 + 3k = 14 + 3 Combine like terms: -3 + 3 = 0 0 + 3k = 14 + 3 3k = 14 + 3 Combine like terms: 14 + 3 = 17 3k = 17 Divide each side by '3'. k = 5.666666667 Simplifying k = 5.666666667
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