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Simplifying -60(k + -4) = 30(k + -2) Reorder the terms: -60(-4 + k) = 30(k + -2) (-4 * -60 + k * -60) = 30(k + -2) (240 + -60k) = 30(k + -2) Reorder the terms: 240 + -60k = 30(-2 + k) 240 + -60k = (-2 * 30 + k * 30) 240 + -60k = (-60 + 30k) Solving 240 + -60k = -60 + 30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30k' to each side of the equation. 240 + -60k + -30k = -60 + 30k + -30k Combine like terms: -60k + -30k = -90k 240 + -90k = -60 + 30k + -30k Combine like terms: 30k + -30k = 0 240 + -90k = -60 + 0 240 + -90k = -60 Add '-240' to each side of the equation. 240 + -240 + -90k = -60 + -240 Combine like terms: 240 + -240 = 0 0 + -90k = -60 + -240 -90k = -60 + -240 Combine like terms: -60 + -240 = -300 -90k = -300 Divide each side by '-90'. k = 3.333333333 Simplifying k = 3.333333333
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