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Simplifying 4(-1k + 8) = 2(-1k + 5) Reorder the terms: 4(8 + -1k) = 2(-1k + 5) (8 * 4 + -1k * 4) = 2(-1k + 5) (32 + -4k) = 2(-1k + 5) Reorder the terms: 32 + -4k = 2(5 + -1k) 32 + -4k = (5 * 2 + -1k * 2) 32 + -4k = (10 + -2k) Solving 32 + -4k = 10 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 32 + -4k + 2k = 10 + -2k + 2k Combine like terms: -4k + 2k = -2k 32 + -2k = 10 + -2k + 2k Combine like terms: -2k + 2k = 0 32 + -2k = 10 + 0 32 + -2k = 10 Add '-32' to each side of the equation. 32 + -32 + -2k = 10 + -32 Combine like terms: 32 + -32 = 0 0 + -2k = 10 + -32 -2k = 10 + -32 Combine like terms: 10 + -32 = -22 -2k = -22 Divide each side by '-2'. k = 11 Simplifying k = 11
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