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Simplifying 5k + 7 = 2(k + -1) Reorder the terms: 7 + 5k = 2(k + -1) Reorder the terms: 7 + 5k = 2(-1 + k) 7 + 5k = (-1 * 2 + k * 2) 7 + 5k = (-2 + 2k) Solving 7 + 5k = -2 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 7 + 5k + -2k = -2 + 2k + -2k Combine like terms: 5k + -2k = 3k 7 + 3k = -2 + 2k + -2k Combine like terms: 2k + -2k = 0 7 + 3k = -2 + 0 7 + 3k = -2 Add '-7' to each side of the equation. 7 + -7 + 3k = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 3k = -2 + -7 3k = -2 + -7 Combine like terms: -2 + -7 = -9 3k = -9 Divide each side by '3'. k = -3 Simplifying k = -3
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