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Simplifying -6 + 6(5k + -6) = -222 Reorder the terms: -6 + 6(-6 + 5k) = -222 -6 + (-6 * 6 + 5k * 6) = -222 -6 + (-36 + 30k) = -222 Combine like terms: -6 + -36 = -42 -42 + 30k = -222 Solving -42 + 30k = -222 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 30k = -222 + 42 Combine like terms: -42 + 42 = 0 0 + 30k = -222 + 42 30k = -222 + 42 Combine like terms: -222 + 42 = -180 30k = -180 Divide each side by '30'. k = -6 Simplifying k = -6
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