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Simplifying 32 + -5k = -6 + -3k Solving 32 + -5k = -6 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 32 + -5k + 3k = -6 + -3k + 3k Combine like terms: -5k + 3k = -2k 32 + -2k = -6 + -3k + 3k Combine like terms: -3k + 3k = 0 32 + -2k = -6 + 0 32 + -2k = -6 Add '-32' to each side of the equation. 32 + -32 + -2k = -6 + -32 Combine like terms: 32 + -32 = 0 0 + -2k = -6 + -32 -2k = -6 + -32 Combine like terms: -6 + -32 = -38 -2k = -38 Divide each side by '-2'. k = 19 Simplifying k = 19
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