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Simplifying 6k + 4 = 8(k + -1) Reorder the terms: 4 + 6k = 8(k + -1) Reorder the terms: 4 + 6k = 8(-1 + k) 4 + 6k = (-1 * 8 + k * 8) 4 + 6k = (-8 + 8k) Solving 4 + 6k = -8 + 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. 4 + 6k + -8k = -8 + 8k + -8k Combine like terms: 6k + -8k = -2k 4 + -2k = -8 + 8k + -8k Combine like terms: 8k + -8k = 0 4 + -2k = -8 + 0 4 + -2k = -8 Add '-4' to each side of the equation. 4 + -4 + -2k = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -2k = -8 + -4 -2k = -8 + -4 Combine like terms: -8 + -4 = -12 -2k = -12 Divide each side by '-2'. k = 6 Simplifying k = 6
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