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Simplifying 3k + 2(k + -4) = 2(k + 5) Reorder the terms: 3k + 2(-4 + k) = 2(k + 5) 3k + (-4 * 2 + k * 2) = 2(k + 5) 3k + (-8 + 2k) = 2(k + 5) Reorder the terms: -8 + 3k + 2k = 2(k + 5) Combine like terms: 3k + 2k = 5k -8 + 5k = 2(k + 5) Reorder the terms: -8 + 5k = 2(5 + k) -8 + 5k = (5 * 2 + k * 2) -8 + 5k = (10 + 2k) Solving -8 + 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. -8 + 5k + -2k = 10 + 2k + -2k Combine like terms: 5k + -2k = 3k -8 + 3k = 10 + 2k + -2k Combine like terms: 2k + -2k = 0 -8 + 3k = 10 + 0 -8 + 3k = 10 Add '8' to each side of the equation. -8 + 8 + 3k = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 3k = 10 + 8 3k = 10 + 8 Combine like terms: 10 + 8 = 18 3k = 18 Divide each side by '3'. k = 6 Simplifying k = 6
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