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Simplifying (8.5m + 4.3n + -7) + (1.5m + -6.4n + -1.8) = 0 Reorder the terms: (-7 + 8.5m + 4.3n) + (1.5m + -6.4n + -1.8) = 0 Remove parenthesis around (-7 + 8.5m + 4.3n) -7 + 8.5m + 4.3n + (1.5m + -6.4n + -1.8) = 0 Reorder the terms: -7 + 8.5m + 4.3n + (-1.8 + 1.5m + -6.4n) = 0 Remove parenthesis around (-1.8 + 1.5m + -6.4n) -7 + 8.5m + 4.3n + -1.8 + 1.5m + -6.4n = 0 Reorder the terms: -7 + -1.8 + 8.5m + 1.5m + 4.3n + -6.4n = 0 Combine like terms: -7 + -1.8 = -8.8 -8.8 + 8.5m + 1.5m + 4.3n + -6.4n = 0 Combine like terms: 8.5m + 1.5m = 10m -8.8 + 10m + 4.3n + -6.4n = 0 Combine like terms: 4.3n + -6.4n = -2.1n -8.8 + 10m + -2.1n = 0 Solving -8.8 + 10m + -2.1n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8.8' to each side of the equation. -8.8 + 10m + 8.8 + -2.1n = 0 + 8.8 Reorder the terms: -8.8 + 8.8 + 10m + -2.1n = 0 + 8.8 Combine like terms: -8.8 + 8.8 = 0.0 0.0 + 10m + -2.1n = 0 + 8.8 10m + -2.1n = 0 + 8.8 Combine like terms: 0 + 8.8 = 8.8 10m + -2.1n = 8.8 Add '2.1n' to each side of the equation. 10m + -2.1n + 2.1n = 8.8 + 2.1n Combine like terms: -2.1n + 2.1n = 0.0 10m + 0.0 = 8.8 + 2.1n 10m = 8.8 + 2.1n Divide each side by '10'. m = 0.88 + 0.21n Simplifying m = 0.88 + 0.21n
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