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Simplifying (8r + 10m) + -1(2r + 4m) = 0 Reorder the terms: (10m + 8r) + -1(2r + 4m) = 0 Remove parenthesis around (10m + 8r) 10m + 8r + -1(2r + 4m) = 0 Reorder the terms: 10m + 8r + -1(4m + 2r) = 0 10m + 8r + (4m * -1 + 2r * -1) = 0 10m + 8r + (-4m + -2r) = 0 Reorder the terms: 10m + -4m + 8r + -2r = 0 Combine like terms: 10m + -4m = 6m 6m + 8r + -2r = 0 Combine like terms: 8r + -2r = 6r 6m + 6r = 0 Solving 6m + 6r = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6r' to each side of the equation. 6m + 6r + -6r = 0 + -6r Combine like terms: 6r + -6r = 0 6m + 0 = 0 + -6r 6m = 0 + -6r Remove the zero: 6m = -6r Divide each side by '6'. m = -1r Simplifying m = -1r
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