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Simplifying 4 + 9r + 14m + -3r + -4m + -7 = 0 Reorder the terms: 4 + -7 + 14m + -4m + 9r + -3r = 0 Combine like terms: 4 + -7 = -3 -3 + 14m + -4m + 9r + -3r = 0 Combine like terms: 14m + -4m = 10m -3 + 10m + 9r + -3r = 0 Combine like terms: 9r + -3r = 6r -3 + 10m + 6r = 0 Solving -3 + 10m + 6r = 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 + 6r = 0 + 3 Reorder the terms: -3 + 3 + 10m + 6r = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 10m + 6r = 0 + 3 10m + 6r = 0 + 3 Combine like terms: 0 + 3 = 3 10m + 6r = 3 Add '-6r' to each side of the equation. 10m + 6r + -6r = 3 + -6r Combine like terms: 6r + -6r = 0 10m + 0 = 3 + -6r 10m = 3 + -6r Divide each side by '10'. m = 0.3 + -0.6r Simplifying m = 0.3 + -0.6r
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