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Simplifying 180 = 3(4 + -8k) 180 = (4 * 3 + -8k * 3) 180 = (12 + -24k) Solving 180 = 12 + -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. 180 + 24k = 12 + -24k + 24k Combine like terms: -24k + 24k = 0 180 + 24k = 12 + 0 180 + 24k = 12 Add '-180' to each side of the equation. 180 + -180 + 24k = 12 + -180 Combine like terms: 180 + -180 = 0 0 + 24k = 12 + -180 24k = 12 + -180 Combine like terms: 12 + -180 = -168 24k = -168 Divide each side by '24'. k = -7 Simplifying k = -7
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