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Simplifying -3k + -3(2k + 4) = 5(k + -8) Reorder the terms: -3k + -3(4 + 2k) = 5(k + -8) -3k + (4 * -3 + 2k * -3) = 5(k + -8) -3k + (-12 + -6k) = 5(k + -8) Reorder the terms: -12 + -3k + -6k = 5(k + -8) Combine like terms: -3k + -6k = -9k -12 + -9k = 5(k + -8) Reorder the terms: -12 + -9k = 5(-8 + k) -12 + -9k = (-8 * 5 + k * 5) -12 + -9k = (-40 + 5k) Solving -12 + -9k = -40 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -12 + -9k + -5k = -40 + 5k + -5k Combine like terms: -9k + -5k = -14k -12 + -14k = -40 + 5k + -5k Combine like terms: 5k + -5k = 0 -12 + -14k = -40 + 0 -12 + -14k = -40 Add '12' to each side of the equation. -12 + 12 + -14k = -40 + 12 Combine like terms: -12 + 12 = 0 0 + -14k = -40 + 12 -14k = -40 + 12 Combine like terms: -40 + 12 = -28 -14k = -28 Divide each side by '-14'. k = 2 Simplifying k = 2
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