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Simplifying 3k + -2 = -2(k + 2) Reorder the terms: -2 + 3k = -2(k + 2) Reorder the terms: -2 + 3k = -2(2 + k) -2 + 3k = (2 * -2 + k * -2) -2 + 3k = (-4 + -2k) Solving -2 + 3k = -4 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -2 + 3k + 2k = -4 + -2k + 2k Combine like terms: 3k + 2k = 5k -2 + 5k = -4 + -2k + 2k Combine like terms: -2k + 2k = 0 -2 + 5k = -4 + 0 -2 + 5k = -4 Add '2' to each side of the equation. -2 + 2 + 5k = -4 + 2 Combine like terms: -2 + 2 = 0 0 + 5k = -4 + 2 5k = -4 + 2 Combine like terms: -4 + 2 = -2 5k = -2 Divide each side by '5'. k = -0.4 Simplifying k = -0.4
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