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Simplifying 2(k + -3) + 3(2k + -5) = 11 Reorder the terms: 2(-3 + k) + 3(2k + -5) = 11 (-3 * 2 + k * 2) + 3(2k + -5) = 11 (-6 + 2k) + 3(2k + -5) = 11 Reorder the terms: -6 + 2k + 3(-5 + 2k) = 11 -6 + 2k + (-5 * 3 + 2k * 3) = 11 -6 + 2k + (-15 + 6k) = 11 Reorder the terms: -6 + -15 + 2k + 6k = 11 Combine like terms: -6 + -15 = -21 -21 + 2k + 6k = 11 Combine like terms: 2k + 6k = 8k -21 + 8k = 11 Solving -21 + 8k = 11 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 8k = 11 + 21 Combine like terms: -21 + 21 = 0 0 + 8k = 11 + 21 8k = 11 + 21 Combine like terms: 11 + 21 = 32 8k = 32 Divide each side by '8'. k = 4 Simplifying k = 4
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