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