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Simplifying 18 + 8k = -4(1 + -6k) + 6k 18 + 8k = (1 * -4 + -6k * -4) + 6k 18 + 8k = (-4 + 24k) + 6k Combine like terms: 24k + 6k = 30k 18 + 8k = -4 + 30k Solving 18 + 8k = -4 + 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. 18 + 8k + -30k = -4 + 30k + -30k Combine like terms: 8k + -30k = -22k 18 + -22k = -4 + 30k + -30k Combine like terms: 30k + -30k = 0 18 + -22k = -4 + 0 18 + -22k = -4 Add '-18' to each side of the equation. 18 + -18 + -22k = -4 + -18 Combine like terms: 18 + -18 = 0 0 + -22k = -4 + -18 -22k = -4 + -18 Combine like terms: -4 + -18 = -22 -22k = -22 Divide each side by '-22'. k = 1 Simplifying k = 1
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