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Simplifying -6(5k + 6) + -6 = -282 Reorder the terms: -6(6 + 5k) + -6 = -282 (6 * -6 + 5k * -6) + -6 = -282 (-36 + -30k) + -6 = -282 Reorder the terms: -36 + -6 + -30k = -282 Combine like terms: -36 + -6 = -42 -42 + -30k = -282 Solving -42 + -30k = -282 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 = -282 + 42 Combine like terms: -42 + 42 = 0 0 + -30k = -282 + 42 -30k = -282 + 42 Combine like terms: -282 + 42 = -240 -30k = -240 Divide each side by '-30'. k = 8 Simplifying k = 8
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