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Simplifying (4k + 2) + -1(8k + -6) = 0 Reorder the terms: (2 + 4k) + -1(8k + -6) = 0 Remove parenthesis around (2 + 4k) 2 + 4k + -1(8k + -6) = 0 Reorder the terms: 2 + 4k + -1(-6 + 8k) = 0 2 + 4k + (-6 * -1 + 8k * -1) = 0 2 + 4k + (6 + -8k) = 0 Reorder the terms: 2 + 6 + 4k + -8k = 0 Combine like terms: 2 + 6 = 8 8 + 4k + -8k = 0 Combine like terms: 4k + -8k = -4k 8 + -4k = 0 Solving 8 + -4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -4k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4k = 0 + -8 -4k = 0 + -8 Combine like terms: 0 + -8 = -8 -4k = -8 Divide each side by '-4'. k = 2 Simplifying k = 2
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