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Simplifying 2k + -4k = -4(1 + k) + 4(1 + 6k) Combine like terms: 2k + -4k = -2k -2k = -4(1 + k) + 4(1 + 6k) -2k = (1 * -4 + k * -4) + 4(1 + 6k) -2k = (-4 + -4k) + 4(1 + 6k) -2k = -4 + -4k + (1 * 4 + 6k * 4) -2k = -4 + -4k + (4 + 24k) Reorder the terms: -2k = -4 + 4 + -4k + 24k Combine like terms: -4 + 4 = 0 -2k = 0 + -4k + 24k -2k = -4k + 24k Combine like terms: -4k + 24k = 20k -2k = 20k Solving -2k = 20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20k' to each side of the equation. -2k + -20k = 20k + -20k Combine like terms: -2k + -20k = -22k -22k = 20k + -20k Combine like terms: 20k + -20k = 0 -22k = 0 Divide each side by '-22'. k = 0 Simplifying k = 0
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