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Simplifying 10 + 3(2k + -1) + -8k = 1 Reorder the terms: 10 + 3(-1 + 2k) + -8k = 1 10 + (-1 * 3 + 2k * 3) + -8k = 1 10 + (-3 + 6k) + -8k = 1 Combine like terms: 10 + -3 = 7 7 + 6k + -8k = 1 Combine like terms: 6k + -8k = -2k 7 + -2k = 1 Solving 7 + -2k = 1 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2k = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -2k = 1 + -7 -2k = 1 + -7 Combine like terms: 1 + -7 = -6 -2k = -6 Divide each side by '-2'. k = 3 Simplifying k = 3
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