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Simplifying 5(k + -3) + 6 = -2k + 12 Reorder the terms: 5(-3 + k) + 6 = -2k + 12 (-3 * 5 + k * 5) + 6 = -2k + 12 (-15 + 5k) + 6 = -2k + 12 Reorder the terms: -15 + 6 + 5k = -2k + 12 Combine like terms: -15 + 6 = -9 -9 + 5k = -2k + 12 Reorder the terms: -9 + 5k = 12 + -2k Solving -9 + 5k = 12 + -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. -9 + 5k + 2k = 12 + -2k + 2k Combine like terms: 5k + 2k = 7k -9 + 7k = 12 + -2k + 2k Combine like terms: -2k + 2k = 0 -9 + 7k = 12 + 0 -9 + 7k = 12 Add '9' to each side of the equation. -9 + 9 + 7k = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 7k = 12 + 9 7k = 12 + 9 Combine like terms: 12 + 9 = 21 7k = 21 Divide each side by '7'. k = 3 Simplifying k = 3
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