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Simplifying 2.5t + -8 = 10 + -3.5t Reorder the terms: -8 + 2.5t = 10 + -3.5t Solving -8 + 2.5t = 10 + -3.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.5t' to each side of the equation. -8 + 2.5t + 3.5t = 10 + -3.5t + 3.5t Combine like terms: 2.5t + 3.5t = 6t -8 + 6t = 10 + -3.5t + 3.5t Combine like terms: -3.5t + 3.5t = 0.0 -8 + 6t = 10 + 0.0 -8 + 6t = 10 Add '8' to each side of the equation. -8 + 8 + 6t = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 6t = 10 + 8 6t = 10 + 8 Combine like terms: 10 + 8 = 18 6t = 18 Divide each side by '6'. t = 3 Simplifying t = 3
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