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Simplifying 19.95m + 2.15 + 0.21t = 24.95m + 0.16t Reorder the terms: 2.15 + 19.95m + 0.21t = 24.95m + 0.16t Solving 2.15 + 19.95m + 0.21t = 24.95m + 0.16t Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24.95m' to each side of the equation. 2.15 + 19.95m + -24.95m + 0.21t = 24.95m + -24.95m + 0.16t Combine like terms: 19.95m + -24.95m = -5m 2.15 + -5m + 0.21t = 24.95m + -24.95m + 0.16t Combine like terms: 24.95m + -24.95m = 0.00 2.15 + -5m + 0.21t = 0.00 + 0.16t 2.15 + -5m + 0.21t = 0.16t Add '-2.15' to each side of the equation. 2.15 + -5m + -2.15 + 0.21t = -2.15 + 0.16t Reorder the terms: 2.15 + -2.15 + -5m + 0.21t = -2.15 + 0.16t Combine like terms: 2.15 + -2.15 = 0.00 0.00 + -5m + 0.21t = -2.15 + 0.16t -5m + 0.21t = -2.15 + 0.16t Add '-0.21t' to each side of the equation. -5m + 0.21t + -0.21t = -2.15 + 0.16t + -0.21t Combine like terms: 0.21t + -0.21t = 0.00 -5m + 0.00 = -2.15 + 0.16t + -0.21t -5m = -2.15 + 0.16t + -0.21t Combine like terms: 0.16t + -0.21t = -0.05t -5m = -2.15 + -0.05t Divide each side by '-5'. m = 0.43 + 0.01t Simplifying m = 0.43 + 0.01t
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