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Simplifying 5k + 6 = 3(4k + -10) Reorder the terms: 6 + 5k = 3(4k + -10) Reorder the terms: 6 + 5k = 3(-10 + 4k) 6 + 5k = (-10 * 3 + 4k * 3) 6 + 5k = (-30 + 12k) Solving 6 + 5k = -30 + 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. 6 + 5k + -12k = -30 + 12k + -12k Combine like terms: 5k + -12k = -7k 6 + -7k = -30 + 12k + -12k Combine like terms: 12k + -12k = 0 6 + -7k = -30 + 0 6 + -7k = -30 Add '-6' to each side of the equation. 6 + -6 + -7k = -30 + -6 Combine like terms: 6 + -6 = 0 0 + -7k = -30 + -6 -7k = -30 + -6 Combine like terms: -30 + -6 = -36 -7k = -36 Divide each side by '-7'. k = 5.142857143 Simplifying k = 5.142857143
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