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Simplifying -4(6k + -6) + -2(1 + -6k) = 5k + 5k Reorder the terms: -4(-6 + 6k) + -2(1 + -6k) = 5k + 5k (-6 * -4 + 6k * -4) + -2(1 + -6k) = 5k + 5k (24 + -24k) + -2(1 + -6k) = 5k + 5k 24 + -24k + (1 * -2 + -6k * -2) = 5k + 5k 24 + -24k + (-2 + 12k) = 5k + 5k Reorder the terms: 24 + -2 + -24k + 12k = 5k + 5k Combine like terms: 24 + -2 = 22 22 + -24k + 12k = 5k + 5k Combine like terms: -24k + 12k = -12k 22 + -12k = 5k + 5k Combine like terms: 5k + 5k = 10k 22 + -12k = 10k Solving 22 + -12k = 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 22 + -12k + -10k = 10k + -10k Combine like terms: -12k + -10k = -22k 22 + -22k = 10k + -10k Combine like terms: 10k + -10k = 0 22 + -22k = 0 Add '-22' to each side of the equation. 22 + -22 + -22k = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -22k = 0 + -22 -22k = 0 + -22 Combine like terms: 0 + -22 = -22 -22k = -22 Divide each side by '-22'. k = 1 Simplifying k = 1
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