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Simplifying 3(2r + -4m) + -5(m + 3 + -1r) + 7 = 0 Reorder the terms: 3(-4m + 2r) + -5(m + 3 + -1r) + 7 = 0 (-4m * 3 + 2r * 3) + -5(m + 3 + -1r) + 7 = 0 (-12m + 6r) + -5(m + 3 + -1r) + 7 = 0 Reorder the terms: -12m + 6r + -5(3 + m + -1r) + 7 = 0 -12m + 6r + (3 * -5 + m * -5 + -1r * -5) + 7 = 0 -12m + 6r + (-15 + -5m + 5r) + 7 = 0 Reorder the terms: -15 + 7 + -12m + -5m + 6r + 5r = 0 Combine like terms: -15 + 7 = -8 -8 + -12m + -5m + 6r + 5r = 0 Combine like terms: -12m + -5m = -17m -8 + -17m + 6r + 5r = 0 Combine like terms: 6r + 5r = 11r -8 + -17m + 11r = 0 Solving -8 + -17m + 11r = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -17m + 8 + 11r = 0 + 8 Reorder the terms: -8 + 8 + -17m + 11r = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -17m + 11r = 0 + 8 -17m + 11r = 0 + 8 Combine like terms: 0 + 8 = 8 -17m + 11r = 8 Add '-11r' to each side of the equation. -17m + 11r + -11r = 8 + -11r Combine like terms: 11r + -11r = 0 -17m + 0 = 8 + -11r -17m = 8 + -11r Divide each side by '-17'. m = -0.4705882353 + 0.6470588235r Simplifying m = -0.4705882353 + 0.6470588235r
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