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Simplifying 7(1 + 4k) + -3 = 144 (1 * 7 + 4k * 7) + -3 = 144 (7 + 28k) + -3 = 144 Reorder the terms: 7 + -3 + 28k = 144 Combine like terms: 7 + -3 = 4 4 + 28k = 144 Solving 4 + 28k = 144 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 28k = 144 + -4 Combine like terms: 4 + -4 = 0 0 + 28k = 144 + -4 28k = 144 + -4 Combine like terms: 144 + -4 = 140 28k = 140 Divide each side by '28'. k = 5 Simplifying k = 5
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