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Simplifying 12 + 14t + 12m + -5t + -2m + 25 = 0 Reorder the terms: 12 + 25 + 12m + -2m + 14t + -5t = 0 Combine like terms: 12 + 25 = 37 37 + 12m + -2m + 14t + -5t = 0 Combine like terms: 12m + -2m = 10m 37 + 10m + 14t + -5t = 0 Combine like terms: 14t + -5t = 9t 37 + 10m + 9t = 0 Solving 37 + 10m + 9t = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + 10m + -37 + 9t = 0 + -37 Reorder the terms: 37 + -37 + 10m + 9t = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 10m + 9t = 0 + -37 10m + 9t = 0 + -37 Combine like terms: 0 + -37 = -37 10m + 9t = -37 Add '-9t' to each side of the equation. 10m + 9t + -9t = -37 + -9t Combine like terms: 9t + -9t = 0 10m + 0 = -37 + -9t 10m = -37 + -9t Divide each side by '10'. m = -3.7 + -0.9t Simplifying m = -3.7 + -0.9t
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