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Simplifying 19 = -7(4k + -9) Reorder the terms: 19 = -7(-9 + 4k) 19 = (-9 * -7 + 4k * -7) 19 = (63 + -28k) Solving 19 = 63 + -28k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '28k' to each side of the equation. 19 + 28k = 63 + -28k + 28k Combine like terms: -28k + 28k = 0 19 + 28k = 63 + 0 19 + 28k = 63 Add '-19' to each side of the equation. 19 + -19 + 28k = 63 + -19 Combine like terms: 19 + -19 = 0 0 + 28k = 63 + -19 28k = 63 + -19 Combine like terms: 63 + -19 = 44 28k = 44 Divide each side by '28'. k = 1.571428571 Simplifying k = 1.571428571
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