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Simplifying 62 = 2(3k + 4) + -6(3 + -5k) Reorder the terms: 62 = 2(4 + 3k) + -6(3 + -5k) 62 = (4 * 2 + 3k * 2) + -6(3 + -5k) 62 = (8 + 6k) + -6(3 + -5k) 62 = 8 + 6k + (3 * -6 + -5k * -6) 62 = 8 + 6k + (-18 + 30k) Reorder the terms: 62 = 8 + -18 + 6k + 30k Combine like terms: 8 + -18 = -10 62 = -10 + 6k + 30k Combine like terms: 6k + 30k = 36k 62 = -10 + 36k Solving 62 = -10 + 36k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36k' to each side of the equation. 62 + -36k = -10 + 36k + -36k Combine like terms: 36k + -36k = 0 62 + -36k = -10 + 0 62 + -36k = -10 Add '-62' to each side of the equation. 62 + -62 + -36k = -10 + -62 Combine like terms: 62 + -62 = 0 0 + -36k = -10 + -62 -36k = -10 + -62 Combine like terms: -10 + -62 = -72 -36k = -72 Divide each side by '-36'. k = 2 Simplifying k = 2
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