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Simplifying -6(5k + 8) + -4k = -320 Reorder the terms: -6(8 + 5k) + -4k = -320 (8 * -6 + 5k * -6) + -4k = -320 (-48 + -30k) + -4k = -320 Combine like terms: -30k + -4k = -34k -48 + -34k = -320 Solving -48 + -34k = -320 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 + -34k = -320 + 48 Combine like terms: -48 + 48 = 0 0 + -34k = -320 + 48 -34k = -320 + 48 Combine like terms: -320 + 48 = -272 -34k = -272 Divide each side by '-34'. k = 8 Simplifying k = 8
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