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Simplifying -2(k + 3) = 4k + -3 Reorder the terms: -2(3 + k) = 4k + -3 (3 * -2 + k * -2) = 4k + -3 (-6 + -2k) = 4k + -3 Reorder the terms: -6 + -2k = -3 + 4k Solving -6 + -2k = -3 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -6 + -2k + -4k = -3 + 4k + -4k Combine like terms: -2k + -4k = -6k -6 + -6k = -3 + 4k + -4k Combine like terms: 4k + -4k = 0 -6 + -6k = -3 + 0 -6 + -6k = -3 Add '6' to each side of the equation. -6 + 6 + -6k = -3 + 6 Combine like terms: -6 + 6 = 0 0 + -6k = -3 + 6 -6k = -3 + 6 Combine like terms: -3 + 6 = 3 -6k = 3 Divide each side by '-6'. k = -0.5 Simplifying k = -0.5
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