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Simplifying 12 + 2(k + -2) = 360(k + -2) Reorder the terms: 12 + 2(-2 + k) = 360(k + -2) 12 + (-2 * 2 + k * 2) = 360(k + -2) 12 + (-4 + 2k) = 360(k + -2) Combine like terms: 12 + -4 = 8 8 + 2k = 360(k + -2) Reorder the terms: 8 + 2k = 360(-2 + k) 8 + 2k = (-2 * 360 + k * 360) 8 + 2k = (-720 + 360k) Solving 8 + 2k = -720 + 360k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-360k' to each side of the equation. 8 + 2k + -360k = -720 + 360k + -360k Combine like terms: 2k + -360k = -358k 8 + -358k = -720 + 360k + -360k Combine like terms: 360k + -360k = 0 8 + -358k = -720 + 0 8 + -358k = -720 Add '-8' to each side of the equation. 8 + -8 + -358k = -720 + -8 Combine like terms: 8 + -8 = 0 0 + -358k = -720 + -8 -358k = -720 + -8 Combine like terms: -720 + -8 = -728 -358k = -728 Divide each side by '-358'. k = 2.033519553 Simplifying k = 2.033519553
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