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Simplifying 4(k + -5) + 6(k + 5) = 30 Reorder the terms: 4(-5 + k) + 6(k + 5) = 30 (-5 * 4 + k * 4) + 6(k + 5) = 30 (-20 + 4k) + 6(k + 5) = 30 Reorder the terms: -20 + 4k + 6(5 + k) = 30 -20 + 4k + (5 * 6 + k * 6) = 30 -20 + 4k + (30 + 6k) = 30 Reorder the terms: -20 + 30 + 4k + 6k = 30 Combine like terms: -20 + 30 = 10 10 + 4k + 6k = 30 Combine like terms: 4k + 6k = 10k 10 + 10k = 30 Solving 10 + 10k = 30 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 10k = 30 + -10 Combine like terms: 10 + -10 = 0 0 + 10k = 30 + -10 10k = 30 + -10 Combine like terms: 30 + -10 = 20 10k = 20 Divide each side by '10'. k = 2 Simplifying k = 2
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