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Simplifying -6 + -7(5k + 6) = -328 Reorder the terms: -6 + -7(6 + 5k) = -328 -6 + (6 * -7 + 5k * -7) = -328 -6 + (-42 + -35k) = -328 Combine like terms: -6 + -42 = -48 -48 + -35k = -328 Solving -48 + -35k = -328 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 + -35k = -328 + 48 Combine like terms: -48 + 48 = 0 0 + -35k = -328 + 48 -35k = -328 + 48 Combine like terms: -328 + 48 = -280 -35k = -280 Divide each side by '-35'. k = 8 Simplifying k = 8
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