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Simplifying -1.5(4m + n) + -2(m + -1n) = 0 (4m * -1.5 + n * -1.5) + -2(m + -1n) = 0 (-6m + -1.5n) + -2(m + -1n) = 0 -6m + -1.5n + (m * -2 + -1n * -2) = 0 -6m + -1.5n + (-2m + 2n) = 0 Reorder the terms: -6m + -2m + -1.5n + 2n = 0 Combine like terms: -6m + -2m = -8m -8m + -1.5n + 2n = 0 Combine like terms: -1.5n + 2n = 0.5n -8m + 0.5n = 0 Solving -8m + 0.5n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.5n' to each side of the equation. -8m + 0.5n + -0.5n = 0 + -0.5n Combine like terms: 0.5n + -0.5n = 0.0 -8m + 0.0 = 0 + -0.5n -8m = 0 + -0.5n Remove the zero: -8m = -0.5n Divide each side by '-8'. m = 0.0625n Simplifying m = 0.0625n
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