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Simplifying -8(8k + -11) = 4k + 5 Reorder the terms: -8(-11 + 8k) = 4k + 5 (-11 * -8 + 8k * -8) = 4k + 5 (88 + -64k) = 4k + 5 Reorder the terms: 88 + -64k = 5 + 4k Solving 88 + -64k = 5 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 88 + -64k + -4k = 5 + 4k + -4k Combine like terms: -64k + -4k = -68k 88 + -68k = 5 + 4k + -4k Combine like terms: 4k + -4k = 0 88 + -68k = 5 + 0 88 + -68k = 5 Add '-88' to each side of the equation. 88 + -88 + -68k = 5 + -88 Combine like terms: 88 + -88 = 0 0 + -68k = 5 + -88 -68k = 5 + -88 Combine like terms: 5 + -88 = -83 -68k = -83 Divide each side by '-68'. k = 1.220588235 Simplifying k = 1.220588235
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