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Simplifying 5(k + 3) + -1(-6k + -2) = 10k Reorder the terms: 5(3 + k) + -1(-6k + -2) = 10k (3 * 5 + k * 5) + -1(-6k + -2) = 10k (15 + 5k) + -1(-6k + -2) = 10k Reorder the terms: 15 + 5k + -1(-2 + -6k) = 10k 15 + 5k + (-2 * -1 + -6k * -1) = 10k 15 + 5k + (2 + 6k) = 10k Reorder the terms: 15 + 2 + 5k + 6k = 10k Combine like terms: 15 + 2 = 17 17 + 5k + 6k = 10k Combine like terms: 5k + 6k = 11k 17 + 11k = 10k Solving 17 + 11k = 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 17 + 11k + -10k = 10k + -10k Combine like terms: 11k + -10k = 1k 17 + 1k = 10k + -10k Combine like terms: 10k + -10k = 0 17 + 1k = 0 Add '-17' to each side of the equation. 17 + -17 + 1k = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 1k = 0 + -17 1k = 0 + -17 Combine like terms: 0 + -17 = -17 1k = -17 Divide each side by '1'. k = -17 Simplifying k = -17
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