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Simplifying 1 = 4k + -7(2k + 5) Reorder the terms: 1 = 4k + -7(5 + 2k) 1 = 4k + (5 * -7 + 2k * -7) 1 = 4k + (-35 + -14k) Reorder the terms: 1 = -35 + 4k + -14k Combine like terms: 4k + -14k = -10k 1 = -35 + -10k Solving 1 = -35 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. 1 + 10k = -35 + -10k + 10k Combine like terms: -10k + 10k = 0 1 + 10k = -35 + 0 1 + 10k = -35 Add '-1' to each side of the equation. 1 + -1 + 10k = -35 + -1 Combine like terms: 1 + -1 = 0 0 + 10k = -35 + -1 10k = -35 + -1 Combine like terms: -35 + -1 = -36 10k = -36 Divide each side by '10'. k = -3.6 Simplifying k = -3.6
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