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Simplifying 6k + 8 = 8(k + 10) Reorder the terms: 8 + 6k = 8(k + 10) Reorder the terms: 8 + 6k = 8(10 + k) 8 + 6k = (10 * 8 + k * 8) 8 + 6k = (80 + 8k) Solving 8 + 6k = 80 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 8 + 6k + -8k = 80 + 8k + -8k Combine like terms: 6k + -8k = -2k 8 + -2k = 80 + 8k + -8k Combine like terms: 8k + -8k = 0 8 + -2k = 80 + 0 8 + -2k = 80 Add '-8' to each side of the equation. 8 + -8 + -2k = 80 + -8 Combine like terms: 8 + -8 = 0 0 + -2k = 80 + -8 -2k = 80 + -8 Combine like terms: 80 + -8 = 72 -2k = 72 Divide each side by '-2'. k = -36 Simplifying k = -36
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