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Simplifying 20k + 20 = -5(-10k + 14) + -12k Reorder the terms: 20 + 20k = -5(-10k + 14) + -12k Reorder the terms: 20 + 20k = -5(14 + -10k) + -12k 20 + 20k = (14 * -5 + -10k * -5) + -12k 20 + 20k = (-70 + 50k) + -12k Combine like terms: 50k + -12k = 38k 20 + 20k = -70 + 38k Solving 20 + 20k = -70 + 38k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-38k' to each side of the equation. 20 + 20k + -38k = -70 + 38k + -38k Combine like terms: 20k + -38k = -18k 20 + -18k = -70 + 38k + -38k Combine like terms: 38k + -38k = 0 20 + -18k = -70 + 0 20 + -18k = -70 Add '-20' to each side of the equation. 20 + -20 + -18k = -70 + -20 Combine like terms: 20 + -20 = 0 0 + -18k = -70 + -20 -18k = -70 + -20 Combine like terms: -70 + -20 = -90 -18k = -90 Divide each side by '-18'. k = 5 Simplifying k = 5
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