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Simplifying 60 = 4(k + 3) + 2(k + -3) Reorder the terms: 60 = 4(3 + k) + 2(k + -3) 60 = (3 * 4 + k * 4) + 2(k + -3) 60 = (12 + 4k) + 2(k + -3) Reorder the terms: 60 = 12 + 4k + 2(-3 + k) 60 = 12 + 4k + (-3 * 2 + k * 2) 60 = 12 + 4k + (-6 + 2k) Reorder the terms: 60 = 12 + -6 + 4k + 2k Combine like terms: 12 + -6 = 6 60 = 6 + 4k + 2k Combine like terms: 4k + 2k = 6k 60 = 6 + 6k Solving 60 = 6 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 60 + -6k = 6 + 6k + -6k Combine like terms: 6k + -6k = 0 60 + -6k = 6 + 0 60 + -6k = 6 Add '-60' to each side of the equation. 60 + -60 + -6k = 6 + -60 Combine like terms: 60 + -60 = 0 0 + -6k = 6 + -60 -6k = 6 + -60 Combine like terms: 6 + -60 = -54 -6k = -54 Divide each side by '-6'. k = 9 Simplifying k = 9
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