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Simplifying 9k + 2(k + -3) = 3k + 10 Reorder the terms: 9k + 2(-3 + k) = 3k + 10 9k + (-3 * 2 + k * 2) = 3k + 10 9k + (-6 + 2k) = 3k + 10 Reorder the terms: -6 + 9k + 2k = 3k + 10 Combine like terms: 9k + 2k = 11k -6 + 11k = 3k + 10 Reorder the terms: -6 + 11k = 10 + 3k Solving -6 + 11k = 10 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -6 + 11k + -3k = 10 + 3k + -3k Combine like terms: 11k + -3k = 8k -6 + 8k = 10 + 3k + -3k Combine like terms: 3k + -3k = 0 -6 + 8k = 10 + 0 -6 + 8k = 10 Add '6' to each side of the equation. -6 + 6 + 8k = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 8k = 10 + 6 8k = 10 + 6 Combine like terms: 10 + 6 = 16 8k = 16 Divide each side by '8'. k = 2 Simplifying k = 2
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