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Simplifying 10 + 14t + 6m + -5t + -4m + -3 = 0 Reorder the terms: 10 + -3 + 6m + -4m + 14t + -5t = 0 Combine like terms: 10 + -3 = 7 7 + 6m + -4m + 14t + -5t = 0 Combine like terms: 6m + -4m = 2m 7 + 2m + 14t + -5t = 0 Combine like terms: 14t + -5t = 9t 7 + 2m + 9t = 0 Solving 7 + 2m + 9t = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 2m + -7 + 9t = 0 + -7 Reorder the terms: 7 + -7 + 2m + 9t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2m + 9t = 0 + -7 2m + 9t = 0 + -7 Combine like terms: 0 + -7 = -7 2m + 9t = -7 Add '-9t' to each side of the equation. 2m + 9t + -9t = -7 + -9t Combine like terms: 9t + -9t = 0 2m + 0 = -7 + -9t 2m = -7 + -9t Divide each side by '2'. m = -3.5 + -4.5t Simplifying m = -3.5 + -4.5t
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