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Simplifying 2(4n + m + 2r + 6y) = 0 Reorder the terms: 2(m + 4n + 2r + 6y) = 0 (m * 2 + 4n * 2 + 2r * 2 + 6y * 2) = 0 (2m + 8n + 4r + 12y) = 0 Solving 2m + 8n + 4r + 12y = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8n' to each side of the equation. 2m + 8n + 4r + -8n + 12y = 0 + -8n Reorder the terms: 2m + 8n + -8n + 4r + 12y = 0 + -8n Combine like terms: 8n + -8n = 0 2m + 0 + 4r + 12y = 0 + -8n 2m + 4r + 12y = 0 + -8n Remove the zero: 2m + 4r + 12y = -8n Add '-4r' to each side of the equation. 2m + 4r + -4r + 12y = -8n + -4r Combine like terms: 4r + -4r = 0 2m + 0 + 12y = -8n + -4r 2m + 12y = -8n + -4r Add '-12y' to each side of the equation. 2m + 12y + -12y = -8n + -4r + -12y Combine like terms: 12y + -12y = 0 2m + 0 = -8n + -4r + -12y 2m = -8n + -4r + -12y Divide each side by '2'. m = -4n + -2r + -6y Simplifying m = -4n + -2r + -6y
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