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Simplifying -2(1 + -2k) + -4 = -10 (1 * -2 + -2k * -2) + -4 = -10 (-2 + 4k) + -4 = -10 Reorder the terms: -2 + -4 + 4k = -10 Combine like terms: -2 + -4 = -6 -6 + 4k = -10 Solving -6 + 4k = -10 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 4k = -10 + 6 Combine like terms: -6 + 6 = 0 0 + 4k = -10 + 6 4k = -10 + 6 Combine like terms: -10 + 6 = -4 4k = -4 Divide each side by '4'. k = -1 Simplifying k = -1
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