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Simplifying 3(2m + 3y) + -4(m + -2y) = 0 (2m * 3 + 3y * 3) + -4(m + -2y) = 0 (6m + 9y) + -4(m + -2y) = 0 6m + 9y + (m * -4 + -2y * -4) = 0 6m + 9y + (-4m + 8y) = 0 Reorder the terms: 6m + -4m + 9y + 8y = 0 Combine like terms: 6m + -4m = 2m 2m + 9y + 8y = 0 Combine like terms: 9y + 8y = 17y 2m + 17y = 0 Solving 2m + 17y = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-17y' to each side of the equation. 2m + 17y + -17y = 0 + -17y Combine like terms: 17y + -17y = 0 2m + 0 = 0 + -17y 2m = 0 + -17y Remove the zero: 2m = -17y Divide each side by '2'. m = -8.5y Simplifying m = -8.5y
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