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Simplifying 3(-4 + 3k) = 8 + 4k (-4 * 3 + 3k * 3) = 8 + 4k (-12 + 9k) = 8 + 4k Solving -12 + 9k = 8 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -12 + 9k + -4k = 8 + 4k + -4k Combine like terms: 9k + -4k = 5k -12 + 5k = 8 + 4k + -4k Combine like terms: 4k + -4k = 0 -12 + 5k = 8 + 0 -12 + 5k = 8 Add '12' to each side of the equation. -12 + 12 + 5k = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 5k = 8 + 12 5k = 8 + 12 Combine like terms: 8 + 12 = 20 5k = 20 Divide each side by '5'. k = 4 Simplifying k = 4
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