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Simplifying (5m + -1n + 1) + -1(10 + -1m + -1n) = 0 Reorder the terms: (1 + 5m + -1n) + -1(10 + -1m + -1n) = 0 Remove parenthesis around (1 + 5m + -1n) 1 + 5m + -1n + -1(10 + -1m + -1n) = 0 1 + 5m + -1n + (10 * -1 + -1m * -1 + -1n * -1) = 0 1 + 5m + -1n + (-10 + 1m + 1n) = 0 Reorder the terms: 1 + -10 + 5m + 1m + -1n + 1n = 0 Combine like terms: 1 + -10 = -9 -9 + 5m + 1m + -1n + 1n = 0 Combine like terms: 5m + 1m = 6m -9 + 6m + -1n + 1n = 0 Combine like terms: -1n + 1n = 0 -9 + 6m + 0 = 0 -9 + 6m = 0 Solving -9 + 6m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 6m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 6m = 0 + 9 6m = 0 + 9 Combine like terms: 0 + 9 = 9 6m = 9 Divide each side by '6'. m = 1.5 Simplifying m = 1.5
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