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Simplifying (3m + -4n + -7) + -1(8m + n + -6) = 0 Reorder the terms: (-7 + 3m + -4n) + -1(8m + n + -6) = 0 Remove parenthesis around (-7 + 3m + -4n) -7 + 3m + -4n + -1(8m + n + -6) = 0 Reorder the terms: -7 + 3m + -4n + -1(-6 + 8m + n) = 0 -7 + 3m + -4n + (-6 * -1 + 8m * -1 + n * -1) = 0 -7 + 3m + -4n + (6 + -8m + -1n) = 0 Reorder the terms: -7 + 6 + 3m + -8m + -4n + -1n = 0 Combine like terms: -7 + 6 = -1 -1 + 3m + -8m + -4n + -1n = 0 Combine like terms: 3m + -8m = -5m -1 + -5m + -4n + -1n = 0 Combine like terms: -4n + -1n = -5n -1 + -5m + -5n = 0 Solving -1 + -5m + -5n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -5m + 1 + -5n = 0 + 1 Reorder the terms: -1 + 1 + -5m + -5n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5m + -5n = 0 + 1 -5m + -5n = 0 + 1 Combine like terms: 0 + 1 = 1 -5m + -5n = 1 Add '5n' to each side of the equation. -5m + -5n + 5n = 1 + 5n Combine like terms: -5n + 5n = 0 -5m + 0 = 1 + 5n -5m = 1 + 5n Divide each side by '-5'. m = -0.2 + -1n Simplifying m = -0.2 + -1n
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