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Simplifying 10m + k + 8n = -18m + -13n + -32 Reorder the terms: k + 10m + 8n = -18m + -13n + -32 Reorder the terms: k + 10m + 8n = -32 + -18m + -13n Solving k + 10m + 8n = -32 + -18m + -13n Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10m' to each side of the equation. k + 10m + -10m + 8n = -32 + -18m + -10m + -13n Combine like terms: 10m + -10m = 0 k + 0 + 8n = -32 + -18m + -10m + -13n k + 8n = -32 + -18m + -10m + -13n Combine like terms: -18m + -10m = -28m k + 8n = -32 + -28m + -13n Add '-8n' to each side of the equation. k + 8n + -8n = -32 + -28m + -13n + -8n Combine like terms: 8n + -8n = 0 k + 0 = -32 + -28m + -13n + -8n k = -32 + -28m + -13n + -8n Combine like terms: -13n + -8n = -21n k = -32 + -28m + -21n Simplifying k = -32 + -28m + -21n
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