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Simplifying 123 = -3 + -3(6 + -8k) 123 = -3 + (6 * -3 + -8k * -3) 123 = -3 + (-18 + 24k) Combine like terms: -3 + -18 = -21 123 = -21 + 24k Solving 123 = -21 + 24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24k' to each side of the equation. 123 + -24k = -21 + 24k + -24k Combine like terms: 24k + -24k = 0 123 + -24k = -21 + 0 123 + -24k = -21 Add '-123' to each side of the equation. 123 + -123 + -24k = -21 + -123 Combine like terms: 123 + -123 = 0 0 + -24k = -21 + -123 -24k = -21 + -123 Combine like terms: -21 + -123 = -144 -24k = -144 Divide each side by '-24'. k = 6 Simplifying k = 6
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