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Simplifying 4(k + -3) = 3(3k + 6) Reorder the terms: 4(-3 + k) = 3(3k + 6) (-3 * 4 + k * 4) = 3(3k + 6) (-12 + 4k) = 3(3k + 6) Reorder the terms: -12 + 4k = 3(6 + 3k) -12 + 4k = (6 * 3 + 3k * 3) -12 + 4k = (18 + 9k) Solving -12 + 4k = 18 + 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. -12 + 4k + -9k = 18 + 9k + -9k Combine like terms: 4k + -9k = -5k -12 + -5k = 18 + 9k + -9k Combine like terms: 9k + -9k = 0 -12 + -5k = 18 + 0 -12 + -5k = 18 Add '12' to each side of the equation. -12 + 12 + -5k = 18 + 12 Combine like terms: -12 + 12 = 0 0 + -5k = 18 + 12 -5k = 18 + 12 Combine like terms: 18 + 12 = 30 -5k = 30 Divide each side by '-5'. k = -6 Simplifying k = -6
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