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Simplifying 4k + 10 = 8k + -2 Reorder the terms: 10 + 4k = 8k + -2 Reorder the terms: 10 + 4k = -2 + 8k Solving 10 + 4k = -2 + 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. 10 + 4k + -8k = -2 + 8k + -8k Combine like terms: 4k + -8k = -4k 10 + -4k = -2 + 8k + -8k Combine like terms: 8k + -8k = 0 10 + -4k = -2 + 0 10 + -4k = -2 Add '-10' to each side of the equation. 10 + -10 + -4k = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -4k = -2 + -10 -4k = -2 + -10 Combine like terms: -2 + -10 = -12 -4k = -12 Divide each side by '-4'. k = 3 Simplifying k = 3
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