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Simplifying 3x + 2.5y + 2z + 1.5n + m + 0.5r = 100 Reorder the terms: m + 1.5n + 0.5r + 3x + 2.5y + 2z = 100 Solving m + 1.5n + 0.5r + 3x + 2.5y + 2z = 100 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1.5n' to each side of the equation. m + 1.5n + 0.5r + 3x + 2.5y + -1.5n + 2z = 100 + -1.5n Reorder the terms: m + 1.5n + -1.5n + 0.5r + 3x + 2.5y + 2z = 100 + -1.5n Combine like terms: 1.5n + -1.5n = 0.0 m + 0.0 + 0.5r + 3x + 2.5y + 2z = 100 + -1.5n m + 0.5r + 3x + 2.5y + 2z = 100 + -1.5n Add '-0.5r' to each side of the equation. m + 0.5r + 3x + 2.5y + -0.5r + 2z = 100 + -1.5n + -0.5r Reorder the terms: m + 0.5r + -0.5r + 3x + 2.5y + 2z = 100 + -1.5n + -0.5r Combine like terms: 0.5r + -0.5r = 0.0 m + 0.0 + 3x + 2.5y + 2z = 100 + -1.5n + -0.5r m + 3x + 2.5y + 2z = 100 + -1.5n + -0.5r Add '-3x' to each side of the equation. m + 3x + 2.5y + -3x + 2z = 100 + -1.5n + -0.5r + -3x Reorder the terms: m + 3x + -3x + 2.5y + 2z = 100 + -1.5n + -0.5r + -3x Combine like terms: 3x + -3x = 0 m + 0 + 2.5y + 2z = 100 + -1.5n + -0.5r + -3x m + 2.5y + 2z = 100 + -1.5n + -0.5r + -3x Add '-2.5y' to each side of the equation. m + 2.5y + -2.5y + 2z = 100 + -1.5n + -0.5r + -3x + -2.5y Combine like terms: 2.5y + -2.5y = 0.0 m + 0.0 + 2z = 100 + -1.5n + -0.5r + -3x + -2.5y m + 2z = 100 + -1.5n + -0.5r + -3x + -2.5y Add '-2z' to each side of the equation. m + 2z + -2z = 100 + -1.5n + -0.5r + -3x + -2.5y + -2z Combine like terms: 2z + -2z = 0 m + 0 = 100 + -1.5n + -0.5r + -3x + -2.5y + -2z m = 100 + -1.5n + -0.5r + -3x + -2.5y + -2z Simplifying m = 100 + -1.5n + -0.5r + -3x + -2.5y + -2z
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