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Simplifying 8(k + -6) + 58 = 2(2k + 5) Reorder the terms: 8(-6 + k) + 58 = 2(2k + 5) (-6 * 8 + k * 8) + 58 = 2(2k + 5) (-48 + 8k) + 58 = 2(2k + 5) Reorder the terms: -48 + 58 + 8k = 2(2k + 5) Combine like terms: -48 + 58 = 10 10 + 8k = 2(2k + 5) Reorder the terms: 10 + 8k = 2(5 + 2k) 10 + 8k = (5 * 2 + 2k * 2) 10 + 8k = (10 + 4k) Add '-10' to each side of the equation. 10 + -10 + 8k = 10 + -10 + 4k Combine like terms: 10 + -10 = 0 0 + 8k = 10 + -10 + 4k 8k = 10 + -10 + 4k Combine like terms: 10 + -10 = 0 8k = 0 + 4k 8k = 4k Solving 8k = 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. 8k + -4k = 4k + -4k Combine like terms: 8k + -4k = 4k 4k = 4k + -4k Combine like terms: 4k + -4k = 0 4k = 0 Divide each side by '4'. k = 0 Simplifying k = 0
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