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Simplifying 3(3k + -1) = 4(x + 3) Reorder the terms: 3(-1 + 3k) = 4(x + 3) (-1 * 3 + 3k * 3) = 4(x + 3) (-3 + 9k) = 4(x + 3) Reorder the terms: -3 + 9k = 4(3 + x) -3 + 9k = (3 * 4 + x * 4) -3 + 9k = (12 + 4x) Solving -3 + 9k = 12 + 4x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 9k = 12 + 3 + 4x Combine like terms: -3 + 3 = 0 0 + 9k = 12 + 3 + 4x 9k = 12 + 3 + 4x Combine like terms: 12 + 3 = 15 9k = 15 + 4x Divide each side by '9'. k = 1.666666667 + 0.4444444444x Simplifying k = 1.666666667 + 0.4444444444x
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