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Simplifying -6k + -6(6k + 8) = -300 Reorder the terms: -6k + -6(8 + 6k) = -300 -6k + (8 * -6 + 6k * -6) = -300 -6k + (-48 + -36k) = -300 Reorder the terms: -48 + -6k + -36k = -300 Combine like terms: -6k + -36k = -42k -48 + -42k = -300 Solving -48 + -42k = -300 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -42k = -300 + 48 Combine like terms: -48 + 48 = 0 0 + -42k = -300 + 48 -42k = -300 + 48 Combine like terms: -300 + 48 = -252 -42k = -252 Divide each side by '-42'. k = 6 Simplifying k = 6
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