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Simplifying 8(1 + -2m) + 4 = 4(-2n + -5) (1 * 8 + -2m * 8) + 4 = 4(-2n + -5) (8 + -16m) + 4 = 4(-2n + -5) Reorder the terms: 8 + 4 + -16m = 4(-2n + -5) Combine like terms: 8 + 4 = 12 12 + -16m = 4(-2n + -5) Reorder the terms: 12 + -16m = 4(-5 + -2n) 12 + -16m = (-5 * 4 + -2n * 4) 12 + -16m = (-20 + -8n) Solving 12 + -16m = -20 + -8n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -16m = -20 + -12 + -8n Combine like terms: 12 + -12 = 0 0 + -16m = -20 + -12 + -8n -16m = -20 + -12 + -8n Combine like terms: -20 + -12 = -32 -16m = -32 + -8n Divide each side by '-16'. m = 2 + 0.5n Simplifying m = 2 + 0.5n
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