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Simplifying 3(-1k + -2) = -5(k + 2) Reorder the terms: 3(-2 + -1k) = -5(k + 2) (-2 * 3 + -1k * 3) = -5(k + 2) (-6 + -3k) = -5(k + 2) Reorder the terms: -6 + -3k = -5(2 + k) -6 + -3k = (2 * -5 + k * -5) -6 + -3k = (-10 + -5k) Solving -6 + -3k = -10 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -6 + -3k + 5k = -10 + -5k + 5k Combine like terms: -3k + 5k = 2k -6 + 2k = -10 + -5k + 5k Combine like terms: -5k + 5k = 0 -6 + 2k = -10 + 0 -6 + 2k = -10 Add '6' to each side of the equation. -6 + 6 + 2k = -10 + 6 Combine like terms: -6 + 6 = 0 0 + 2k = -10 + 6 2k = -10 + 6 Combine like terms: -10 + 6 = -4 2k = -4 Divide each side by '2'. k = -2 Simplifying k = -2
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