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Simplifying 2k + 1 = 5(k + -7) Reorder the terms: 1 + 2k = 5(k + -7) Reorder the terms: 1 + 2k = 5(-7 + k) 1 + 2k = (-7 * 5 + k * 5) 1 + 2k = (-35 + 5k) Solving 1 + 2k = -35 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 1 + 2k + -5k = -35 + 5k + -5k Combine like terms: 2k + -5k = -3k 1 + -3k = -35 + 5k + -5k Combine like terms: 5k + -5k = 0 1 + -3k = -35 + 0 1 + -3k = -35 Add '-1' to each side of the equation. 1 + -1 + -3k = -35 + -1 Combine like terms: 1 + -1 = 0 0 + -3k = -35 + -1 -3k = -35 + -1 Combine like terms: -35 + -1 = -36 -3k = -36 Divide each side by '-3'. k = 12 Simplifying k = 12
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