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Simplifying 3(1 + -2k) + -4k = 83 (1 * 3 + -2k * 3) + -4k = 83 (3 + -6k) + -4k = 83 Combine like terms: -6k + -4k = -10k 3 + -10k = 83 Solving 3 + -10k = 83 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -10k = 83 + -3 Combine like terms: 3 + -3 = 0 0 + -10k = 83 + -3 -10k = 83 + -3 Combine like terms: 83 + -3 = 80 -10k = 80 Divide each side by '-10'. k = -8 Simplifying k = -8
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