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Simplifying -20k + -16 = -2(12k + -19) + -2k Reorder the terms: -16 + -20k = -2(12k + -19) + -2k Reorder the terms: -16 + -20k = -2(-19 + 12k) + -2k -16 + -20k = (-19 * -2 + 12k * -2) + -2k -16 + -20k = (38 + -24k) + -2k Combine like terms: -24k + -2k = -26k -16 + -20k = 38 + -26k Solving -16 + -20k = 38 + -26k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '26k' to each side of the equation. -16 + -20k + 26k = 38 + -26k + 26k Combine like terms: -20k + 26k = 6k -16 + 6k = 38 + -26k + 26k Combine like terms: -26k + 26k = 0 -16 + 6k = 38 + 0 -16 + 6k = 38 Add '16' to each side of the equation. -16 + 16 + 6k = 38 + 16 Combine like terms: -16 + 16 = 0 0 + 6k = 38 + 16 6k = 38 + 16 Combine like terms: 38 + 16 = 54 6k = 54 Divide each side by '6'. k = 9 Simplifying k = 9
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