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Simplifying -12t + -5m + 15 = 17 + 6t + -1t Reorder the terms: 15 + -5m + -12t = 17 + 6t + -1t Combine like terms: 6t + -1t = 5t 15 + -5m + -12t = 17 + 5t Solving 15 + -5m + -12t = 17 + 5t Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -5m + -15 + -12t = 17 + -15 + 5t Reorder the terms: 15 + -15 + -5m + -12t = 17 + -15 + 5t Combine like terms: 15 + -15 = 0 0 + -5m + -12t = 17 + -15 + 5t -5m + -12t = 17 + -15 + 5t Combine like terms: 17 + -15 = 2 -5m + -12t = 2 + 5t Add '12t' to each side of the equation. -5m + -12t + 12t = 2 + 5t + 12t Combine like terms: -12t + 12t = 0 -5m + 0 = 2 + 5t + 12t -5m = 2 + 5t + 12t Combine like terms: 5t + 12t = 17t -5m = 2 + 17t Divide each side by '-5'. m = -0.4 + -3.4t Simplifying m = -0.4 + -3.4t
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