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Simplifying -3(5 + -3k) = 3(x + -4) (5 * -3 + -3k * -3) = 3(x + -4) (-15 + 9k) = 3(x + -4) Reorder the terms: -15 + 9k = 3(-4 + x) -15 + 9k = (-4 * 3 + x * 3) -15 + 9k = (-12 + 3x) Solving -15 + 9k = -12 + 3x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 9k = -12 + 15 + 3x Combine like terms: -15 + 15 = 0 0 + 9k = -12 + 15 + 3x 9k = -12 + 15 + 3x Combine like terms: -12 + 15 = 3 9k = 3 + 3x Divide each side by '9'. k = 0.3333333333 + 0.3333333333x Simplifying k = 0.3333333333 + 0.3333333333x
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