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Simplifying 3 + 5k = -2 + -2(2k + -7) Reorder the terms: 3 + 5k = -2 + -2(-7 + 2k) 3 + 5k = -2 + (-7 * -2 + 2k * -2) 3 + 5k = -2 + (14 + -4k) Combine like terms: -2 + 14 = 12 3 + 5k = 12 + -4k Solving 3 + 5k = 12 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 3 + 5k + 4k = 12 + -4k + 4k Combine like terms: 5k + 4k = 9k 3 + 9k = 12 + -4k + 4k Combine like terms: -4k + 4k = 0 3 + 9k = 12 + 0 3 + 9k = 12 Add '-3' to each side of the equation. 3 + -3 + 9k = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 9k = 12 + -3 9k = 12 + -3 Combine like terms: 12 + -3 = 9 9k = 9 Divide each side by '9'. k = 1 Simplifying k = 1
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