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Simplifying 8(5k + -15) + 2(13 + 11k) = 0 Reorder the terms: 8(-15 + 5k) + 2(13 + 11k) = 0 (-15 * 8 + 5k * 8) + 2(13 + 11k) = 0 (-120 + 40k) + 2(13 + 11k) = 0 -120 + 40k + (13 * 2 + 11k * 2) = 0 -120 + 40k + (26 + 22k) = 0 Reorder the terms: -120 + 26 + 40k + 22k = 0 Combine like terms: -120 + 26 = -94 -94 + 40k + 22k = 0 Combine like terms: 40k + 22k = 62k -94 + 62k = 0 Solving -94 + 62k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '94' to each side of the equation. -94 + 94 + 62k = 0 + 94 Combine like terms: -94 + 94 = 0 0 + 62k = 0 + 94 62k = 0 + 94 Combine like terms: 0 + 94 = 94 62k = 94 Divide each side by '62'. k = 1.516129032 Simplifying k = 1.516129032
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