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Simplifying 3.5t + 8 = 2.25t + -16 Reorder the terms: 8 + 3.5t = 2.25t + -16 Reorder the terms: 8 + 3.5t = -16 + 2.25t Solving 8 + 3.5t = -16 + 2.25t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.25t' to each side of the equation. 8 + 3.5t + -2.25t = -16 + 2.25t + -2.25t Combine like terms: 3.5t + -2.25t = 1.25t 8 + 1.25t = -16 + 2.25t + -2.25t Combine like terms: 2.25t + -2.25t = 0.00 8 + 1.25t = -16 + 0.00 8 + 1.25t = -16 Add '-8' to each side of the equation. 8 + -8 + 1.25t = -16 + -8 Combine like terms: 8 + -8 = 0 0 + 1.25t = -16 + -8 1.25t = -16 + -8 Combine like terms: -16 + -8 = -24 1.25t = -24 Divide each side by '1.25'. t = -19.2 Simplifying t = -19.2
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