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Simplifying 3(2k + -5) + -1k = 4(3k + 7) Reorder the terms: 3(-5 + 2k) + -1k = 4(3k + 7) (-5 * 3 + 2k * 3) + -1k = 4(3k + 7) (-15 + 6k) + -1k = 4(3k + 7) Combine like terms: 6k + -1k = 5k -15 + 5k = 4(3k + 7) Reorder the terms: -15 + 5k = 4(7 + 3k) -15 + 5k = (7 * 4 + 3k * 4) -15 + 5k = (28 + 12k) Solving -15 + 5k = 28 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. -15 + 5k + -12k = 28 + 12k + -12k Combine like terms: 5k + -12k = -7k -15 + -7k = 28 + 12k + -12k Combine like terms: 12k + -12k = 0 -15 + -7k = 28 + 0 -15 + -7k = 28 Add '15' to each side of the equation. -15 + 15 + -7k = 28 + 15 Combine like terms: -15 + 15 = 0 0 + -7k = 28 + 15 -7k = 28 + 15 Combine like terms: 28 + 15 = 43 -7k = 43 Divide each side by '-7'. k = -6.142857143 Simplifying k = -6.142857143
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