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Simplifying 4(3y + 6m) + -6y + 14m = 0 Reorder the terms: 4(6m + 3y) + -6y + 14m = 0 (6m * 4 + 3y * 4) + -6y + 14m = 0 (24m + 12y) + -6y + 14m = 0 Reorder the terms: 24m + 14m + 12y + -6y = 0 Combine like terms: 24m + 14m = 38m 38m + 12y + -6y = 0 Combine like terms: 12y + -6y = 6y 38m + 6y = 0 Solving 38m + 6y = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6y' to each side of the equation. 38m + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 38m + 0 = 0 + -6y 38m = 0 + -6y Remove the zero: 38m = -6y Divide each side by '38'. m = -0.1578947368y Simplifying m = -0.1578947368y
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