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Simplifying 4(-5 + k) = 3(3k + -9) (-5 * 4 + k * 4) = 3(3k + -9) (-20 + 4k) = 3(3k + -9) Reorder the terms: -20 + 4k = 3(-9 + 3k) -20 + 4k = (-9 * 3 + 3k * 3) -20 + 4k = (-27 + 9k) Solving -20 + 4k = -27 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. -20 + 4k + -9k = -27 + 9k + -9k Combine like terms: 4k + -9k = -5k -20 + -5k = -27 + 9k + -9k Combine like terms: 9k + -9k = 0 -20 + -5k = -27 + 0 -20 + -5k = -27 Add '20' to each side of the equation. -20 + 20 + -5k = -27 + 20 Combine like terms: -20 + 20 = 0 0 + -5k = -27 + 20 -5k = -27 + 20 Combine like terms: -27 + 20 = -7 -5k = -7 Divide each side by '-5'. k = 1.4 Simplifying k = 1.4
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