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Simplifying 99 = -3(7 + 5k) 99 = (7 * -3 + 5k * -3) 99 = (-21 + -15k) Solving 99 = -21 + -15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15k' to each side of the equation. 99 + 15k = -21 + -15k + 15k Combine like terms: -15k + 15k = 0 99 + 15k = -21 + 0 99 + 15k = -21 Add '-99' to each side of the equation. 99 + -99 + 15k = -21 + -99 Combine like terms: 99 + -99 = 0 0 + 15k = -21 + -99 15k = -21 + -99 Combine like terms: -21 + -99 = -120 15k = -120 Divide each side by '15'. k = -8 Simplifying k = -8
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