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Simplifying -2(1 + 3k) = -2(6 + -2k) (1 * -2 + 3k * -2) = -2(6 + -2k) (-2 + -6k) = -2(6 + -2k) -2 + -6k = (6 * -2 + -2k * -2) -2 + -6k = (-12 + 4k) Solving -2 + -6k = -12 + 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. -2 + -6k + -4k = -12 + 4k + -4k Combine like terms: -6k + -4k = -10k -2 + -10k = -12 + 4k + -4k Combine like terms: 4k + -4k = 0 -2 + -10k = -12 + 0 -2 + -10k = -12 Add '2' to each side of the equation. -2 + 2 + -10k = -12 + 2 Combine like terms: -2 + 2 = 0 0 + -10k = -12 + 2 -10k = -12 + 2 Combine like terms: -12 + 2 = -10 -10k = -10 Divide each side by '-10'. k = 1 Simplifying k = 1
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