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Simplifying 7(1 + 2k) = 3(1 + -8k) (1 * 7 + 2k * 7) = 3(1 + -8k) (7 + 14k) = 3(1 + -8k) 7 + 14k = (1 * 3 + -8k * 3) 7 + 14k = (3 + -24k) Solving 7 + 14k = 3 + -24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24k' to each side of the equation. 7 + 14k + 24k = 3 + -24k + 24k Combine like terms: 14k + 24k = 38k 7 + 38k = 3 + -24k + 24k Combine like terms: -24k + 24k = 0 7 + 38k = 3 + 0 7 + 38k = 3 Add '-7' to each side of the equation. 7 + -7 + 38k = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 38k = 3 + -7 38k = 3 + -7 Combine like terms: 3 + -7 = -4 38k = -4 Divide each side by '38'. k = -0.1052631579 Simplifying k = -0.1052631579
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