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Simplifying 3m + 2r + -5 + 7m + -6r + 8 = 0 Reorder the terms: -5 + 8 + 3m + 7m + 2r + -6r = 0 Combine like terms: -5 + 8 = 3 3 + 3m + 7m + 2r + -6r = 0 Combine like terms: 3m + 7m = 10m 3 + 10m + 2r + -6r = 0 Combine like terms: 2r + -6r = -4r 3 + 10m + -4r = 0 Solving 3 + 10m + -4r = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 10m + -3 + -4r = 0 + -3 Reorder the terms: 3 + -3 + 10m + -4r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 10m + -4r = 0 + -3 10m + -4r = 0 + -3 Combine like terms: 0 + -3 = -3 10m + -4r = -3 Add '4r' to each side of the equation. 10m + -4r + 4r = -3 + 4r Combine like terms: -4r + 4r = 0 10m + 0 = -3 + 4r 10m = -3 + 4r Divide each side by '10'. m = -0.3 + 0.4r Simplifying m = -0.3 + 0.4r
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