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Simplifying -7(-12k + -3) + -11 = 10(1 + 2k) Reorder the terms: -7(-3 + -12k) + -11 = 10(1 + 2k) (-3 * -7 + -12k * -7) + -11 = 10(1 + 2k) (21 + 84k) + -11 = 10(1 + 2k) Reorder the terms: 21 + -11 + 84k = 10(1 + 2k) Combine like terms: 21 + -11 = 10 10 + 84k = 10(1 + 2k) 10 + 84k = (1 * 10 + 2k * 10) 10 + 84k = (10 + 20k) Add '-10' to each side of the equation. 10 + -10 + 84k = 10 + -10 + 20k Combine like terms: 10 + -10 = 0 0 + 84k = 10 + -10 + 20k 84k = 10 + -10 + 20k Combine like terms: 10 + -10 = 0 84k = 0 + 20k 84k = 20k Solving 84k = 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. 84k + -20k = 20k + -20k Combine like terms: 84k + -20k = 64k 64k = 20k + -20k Combine like terms: 20k + -20k = 0 64k = 0 Divide each side by '64'. k = 0 Simplifying k = 0
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