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Simplifying -180 = -4(-3 + -6k) -180 = (-3 * -4 + -6k * -4) -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 = 192 -24k = 192 Divide each side by '-24'. k = -8 Simplifying k = -8
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