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Simplifying 3(2k + -5) = 11 + -5(2k + 4) Reorder the terms: 3(-5 + 2k) = 11 + -5(2k + 4) (-5 * 3 + 2k * 3) = 11 + -5(2k + 4) (-15 + 6k) = 11 + -5(2k + 4) Reorder the terms: -15 + 6k = 11 + -5(4 + 2k) -15 + 6k = 11 + (4 * -5 + 2k * -5) -15 + 6k = 11 + (-20 + -10k) Combine like terms: 11 + -20 = -9 -15 + 6k = -9 + -10k Solving -15 + 6k = -9 + -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. -15 + 6k + 10k = -9 + -10k + 10k Combine like terms: 6k + 10k = 16k -15 + 16k = -9 + -10k + 10k Combine like terms: -10k + 10k = 0 -15 + 16k = -9 + 0 -15 + 16k = -9 Add '15' to each side of the equation. -15 + 15 + 16k = -9 + 15 Combine like terms: -15 + 15 = 0 0 + 16k = -9 + 15 16k = -9 + 15 Combine like terms: -9 + 15 = 6 16k = 6 Divide each side by '16'. k = 0.375 Simplifying k = 0.375
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