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Simplifying -8m + -10 + 10r = 8 + -17 + -5r Reorder the terms: -10 + -8m + 10r = 8 + -17 + -5r Combine like terms: 8 + -17 = -9 -10 + -8m + 10r = -9 + -5r Solving -10 + -8m + 10r = -9 + -5r Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -8m + 10 + 10r = -9 + 10 + -5r Reorder the terms: -10 + 10 + -8m + 10r = -9 + 10 + -5r Combine like terms: -10 + 10 = 0 0 + -8m + 10r = -9 + 10 + -5r -8m + 10r = -9 + 10 + -5r Combine like terms: -9 + 10 = 1 -8m + 10r = 1 + -5r Add '-10r' to each side of the equation. -8m + 10r + -10r = 1 + -5r + -10r Combine like terms: 10r + -10r = 0 -8m + 0 = 1 + -5r + -10r -8m = 1 + -5r + -10r Combine like terms: -5r + -10r = -15r -8m = 1 + -15r Divide each side by '-8'. m = -0.125 + 1.875r Simplifying m = -0.125 + 1.875r
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