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Simplifying 91 = -7(7 + -4k) 91 = (7 * -7 + -4k * -7) 91 = (-49 + 28k) Solving 91 = -49 + 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. 91 + -28k = -49 + 28k + -28k Combine like terms: 28k + -28k = 0 91 + -28k = -49 + 0 91 + -28k = -49 Add '-91' to each side of the equation. 91 + -91 + -28k = -49 + -91 Combine like terms: 91 + -91 = 0 0 + -28k = -49 + -91 -28k = -49 + -91 Combine like terms: -49 + -91 = -140 -28k = -140 Divide each side by '-28'. k = 5 Simplifying k = 5
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