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Simplifying 2y + 6z + -4m = 32z + -6m + 4y Reorder the terms: -4m + 2y + 6z = 32z + -6m + 4y Reorder the terms: -4m + 2y + 6z = -6m + 4y + 32z Solving -4m + 2y + 6z = -6m + 4y + 32z Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. -4m + 2y + 6m + 6z = -6m + 4y + 6m + 32z Reorder the terms: -4m + 6m + 2y + 6z = -6m + 4y + 6m + 32z Combine like terms: -4m + 6m = 2m 2m + 2y + 6z = -6m + 4y + 6m + 32z Reorder the terms: 2m + 2y + 6z = -6m + 6m + 4y + 32z Combine like terms: -6m + 6m = 0 2m + 2y + 6z = 0 + 4y + 32z 2m + 2y + 6z = 4y + 32z Add '-2y' to each side of the equation. 2m + 2y + -2y + 6z = 4y + -2y + 32z Combine like terms: 2y + -2y = 0 2m + 0 + 6z = 4y + -2y + 32z 2m + 6z = 4y + -2y + 32z Combine like terms: 4y + -2y = 2y 2m + 6z = 2y + 32z Add '-6z' to each side of the equation. 2m + 6z + -6z = 2y + 32z + -6z Combine like terms: 6z + -6z = 0 2m + 0 = 2y + 32z + -6z 2m = 2y + 32z + -6z Combine like terms: 32z + -6z = 26z 2m = 2y + 26z Divide each side by '2'. m = y + 13z Simplifying m = y + 13z
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