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Simplifying -6m + 2n + 4m + -3n = 0 Reorder the terms: -6m + 4m + 2n + -3n = 0 Combine like terms: -6m + 4m = -2m -2m + 2n + -3n = 0 Combine like terms: 2n + -3n = -1n -2m + -1n = 0 Solving -2m + -1n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. -2m + -1n + n = 0 + n Combine like terms: -1n + n = 0 -2m + 0 = 0 + n -2m = 0 + n Remove the zero: -2m = n Divide each side by '-2'. m = -0.5n Simplifying m = -0.5n
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