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Simplifying 7(4k + 3) + (6k + -8) = 145 Reorder the terms: 7(3 + 4k) + (6k + -8) = 145 (3 * 7 + 4k * 7) + (6k + -8) = 145 (21 + 28k) + (6k + -8) = 145 Reorder the terms: 21 + 28k + (-8 + 6k) = 145 Remove parenthesis around (-8 + 6k) 21 + 28k + -8 + 6k = 145 Reorder the terms: 21 + -8 + 28k + 6k = 145 Combine like terms: 21 + -8 = 13 13 + 28k + 6k = 145 Combine like terms: 28k + 6k = 34k 13 + 34k = 145 Solving 13 + 34k = 145 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 34k = 145 + -13 Combine like terms: 13 + -13 = 0 0 + 34k = 145 + -13 34k = 145 + -13 Combine like terms: 145 + -13 = 132 34k = 132 Divide each side by '34'. k = 3.882352941 Simplifying k = 3.882352941
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