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Simplifying -6 + -3k = 3k + -2(k + 3) Reorder the terms: -6 + -3k = 3k + -2(3 + k) -6 + -3k = 3k + (3 * -2 + k * -2) -6 + -3k = 3k + (-6 + -2k) Reorder the terms: -6 + -3k = -6 + 3k + -2k Combine like terms: 3k + -2k = 1k -6 + -3k = -6 + 1k Add '6' to each side of the equation. -6 + 6 + -3k = -6 + 6 + 1k Combine like terms: -6 + 6 = 0 0 + -3k = -6 + 6 + 1k -3k = -6 + 6 + 1k Combine like terms: -6 + 6 = 0 -3k = 0 + 1k -3k = 1k Solving -3k = 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -3k + -1k = 1k + -1k Combine like terms: -3k + -1k = -4k -4k = 1k + -1k Combine like terms: 1k + -1k = 0 -4k = 0 Divide each side by '-4'. k = 0 Simplifying k = 0
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