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Simplifying -20 + -20k + 4k = -8(2k + -20) + -12k Combine like terms: -20k + 4k = -16k -20 + -16k = -8(2k + -20) + -12k Reorder the terms: -20 + -16k = -8(-20 + 2k) + -12k -20 + -16k = (-20 * -8 + 2k * -8) + -12k -20 + -16k = (160 + -16k) + -12k Combine like terms: -16k + -12k = -28k -20 + -16k = 160 + -28k Solving -20 + -16k = 160 + -28k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '28k' to each side of the equation. -20 + -16k + 28k = 160 + -28k + 28k Combine like terms: -16k + 28k = 12k -20 + 12k = 160 + -28k + 28k Combine like terms: -28k + 28k = 0 -20 + 12k = 160 + 0 -20 + 12k = 160 Add '20' to each side of the equation. -20 + 20 + 12k = 160 + 20 Combine like terms: -20 + 20 = 0 0 + 12k = 160 + 20 12k = 160 + 20 Combine like terms: 160 + 20 = 180 12k = 180 Divide each side by '12'. k = 15 Simplifying k = 15
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