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Simplifying -9(12 + -8k) + -5(7 + -11k) = -5k + -11k (12 * -9 + -8k * -9) + -5(7 + -11k) = -5k + -11k (-108 + 72k) + -5(7 + -11k) = -5k + -11k -108 + 72k + (7 * -5 + -11k * -5) = -5k + -11k -108 + 72k + (-35 + 55k) = -5k + -11k Reorder the terms: -108 + -35 + 72k + 55k = -5k + -11k Combine like terms: -108 + -35 = -143 -143 + 72k + 55k = -5k + -11k Combine like terms: 72k + 55k = 127k -143 + 127k = -5k + -11k Combine like terms: -5k + -11k = -16k -143 + 127k = -16k Solving -143 + 127k = -16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16k' to each side of the equation. -143 + 127k + 16k = -16k + 16k Combine like terms: 127k + 16k = 143k -143 + 143k = -16k + 16k Combine like terms: -16k + 16k = 0 -143 + 143k = 0 Add '143' to each side of the equation. -143 + 143 + 143k = 0 + 143 Combine like terms: -143 + 143 = 0 0 + 143k = 0 + 143 143k = 0 + 143 Combine like terms: 0 + 143 = 143 143k = 143 Divide each side by '143'. k = 1 Simplifying k = 1
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