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Simplifying 32 + 2k = -5(4k + -2) Reorder the terms: 32 + 2k = -5(-2 + 4k) 32 + 2k = (-2 * -5 + 4k * -5) 32 + 2k = (10 + -20k) Solving 32 + 2k = 10 + -20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20k' to each side of the equation. 32 + 2k + 20k = 10 + -20k + 20k Combine like terms: 2k + 20k = 22k 32 + 22k = 10 + -20k + 20k Combine like terms: -20k + 20k = 0 32 + 22k = 10 + 0 32 + 22k = 10 Add '-32' to each side of the equation. 32 + -32 + 22k = 10 + -32 Combine like terms: 32 + -32 = 0 0 + 22k = 10 + -32 22k = 10 + -32 Combine like terms: 10 + -32 = -22 22k = -22 Divide each side by '22'. k = -1 Simplifying k = -1
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