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Simplifying 16 + 8r + 7m + -3r + -3m + 14 = 0 Reorder the terms: 16 + 14 + 7m + -3m + 8r + -3r = 0 Combine like terms: 16 + 14 = 30 30 + 7m + -3m + 8r + -3r = 0 Combine like terms: 7m + -3m = 4m 30 + 4m + 8r + -3r = 0 Combine like terms: 8r + -3r = 5r 30 + 4m + 5r = 0 Solving 30 + 4m + 5r = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 4m + -30 + 5r = 0 + -30 Reorder the terms: 30 + -30 + 4m + 5r = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 4m + 5r = 0 + -30 4m + 5r = 0 + -30 Combine like terms: 0 + -30 = -30 4m + 5r = -30 Add '-5r' to each side of the equation. 4m + 5r + -5r = -30 + -5r Combine like terms: 5r + -5r = 0 4m + 0 = -30 + -5r 4m = -30 + -5r Divide each side by '4'. m = -7.5 + -1.25r Simplifying m = -7.5 + -1.25r
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