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Simplifying 17m + 7m + 8n + -23m + -7n = 12 Reorder the terms: 17m + 7m + -23m + 8n + -7n = 12 Combine like terms: 17m + 7m = 24m 24m + -23m + 8n + -7n = 12 Combine like terms: 24m + -23m = 1m 1m + 8n + -7n = 12 Combine like terms: 8n + -7n = 1n 1m + 1n = 12 Solving 1m + 1n = 12 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1n' to each side of the equation. 1m + 1n + -1n = 12 + -1n Combine like terms: 1n + -1n = 0 1m + 0 = 12 + -1n 1m = 12 + -1n Divide each side by '1'. m = 12 + -1n Simplifying m = 12 + -1n
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