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Simplifying k + -14 = -3(-2k + -2) Reorder the terms: -14 + k = -3(-2k + -2) Reorder the terms: -14 + k = -3(-2 + -2k) -14 + k = (-2 * -3 + -2k * -3) -14 + k = (6 + 6k) Solving -14 + k = 6 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -14 + k + -6k = 6 + 6k + -6k Combine like terms: k + -6k = -5k -14 + -5k = 6 + 6k + -6k Combine like terms: 6k + -6k = 0 -14 + -5k = 6 + 0 -14 + -5k = 6 Add '14' to each side of the equation. -14 + 14 + -5k = 6 + 14 Combine like terms: -14 + 14 = 0 0 + -5k = 6 + 14 -5k = 6 + 14 Combine like terms: 6 + 14 = 20 -5k = 20 Divide each side by '-5'. k = -4 Simplifying k = -4
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