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Simplifying 4t + 8 + m = 10 + -2m + 5 Reorder the terms: 8 + m + 4t = 10 + -2m + 5 Reorder the terms: 8 + m + 4t = 10 + 5 + -2m Combine like terms: 10 + 5 = 15 8 + m + 4t = 15 + -2m Solving 8 + m + 4t = 15 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 8 + m + 2m + 4t = 15 + -2m + 2m Combine like terms: m + 2m = 3m 8 + 3m + 4t = 15 + -2m + 2m Combine like terms: -2m + 2m = 0 8 + 3m + 4t = 15 + 0 8 + 3m + 4t = 15 Add '-8' to each side of the equation. 8 + 3m + -8 + 4t = 15 + -8 Reorder the terms: 8 + -8 + 3m + 4t = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 3m + 4t = 15 + -8 3m + 4t = 15 + -8 Combine like terms: 15 + -8 = 7 3m + 4t = 7 Add '-4t' to each side of the equation. 3m + 4t + -4t = 7 + -4t Combine like terms: 4t + -4t = 0 3m + 0 = 7 + -4t 3m = 7 + -4t Divide each side by '3'. m = 2.333333333 + -1.333333333t Simplifying m = 2.333333333 + -1.333333333t
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