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Simplifying 4(-6k + 7) + 7k = 147 Reorder the terms: 4(7 + -6k) + 7k = 147 (7 * 4 + -6k * 4) + 7k = 147 (28 + -24k) + 7k = 147 Combine like terms: -24k + 7k = -17k 28 + -17k = 147 Solving 28 + -17k = 147 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -17k = 147 + -28 Combine like terms: 28 + -28 = 0 0 + -17k = 147 + -28 -17k = 147 + -28 Combine like terms: 147 + -28 = 119 -17k = 119 Divide each side by '-17'. k = -7 Simplifying k = -7
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