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Simplifying 8(2k + -6) + 4(-1 + -5k) = 0 Reorder the terms: 8(-6 + 2k) + 4(-1 + -5k) = 0 (-6 * 8 + 2k * 8) + 4(-1 + -5k) = 0 (-48 + 16k) + 4(-1 + -5k) = 0 -48 + 16k + (-1 * 4 + -5k * 4) = 0 -48 + 16k + (-4 + -20k) = 0 Reorder the terms: -48 + -4 + 16k + -20k = 0 Combine like terms: -48 + -4 = -52 -52 + 16k + -20k = 0 Combine like terms: 16k + -20k = -4k -52 + -4k = 0 Solving -52 + -4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + -4k = 0 + 52 Combine like terms: -52 + 52 = 0 0 + -4k = 0 + 52 -4k = 0 + 52 Combine like terms: 0 + 52 = 52 -4k = 52 Divide each side by '-4'. k = -13 Simplifying k = -13
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