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Simplifying 2.25t + 8 = 13.25t + -14 Reorder the terms: 8 + 2.25t = 13.25t + -14 Reorder the terms: 8 + 2.25t = -14 + 13.25t Solving 8 + 2.25t = -14 + 13.25t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13.25t' to each side of the equation. 8 + 2.25t + -13.25t = -14 + 13.25t + -13.25t Combine like terms: 2.25t + -13.25t = -11t 8 + -11t = -14 + 13.25t + -13.25t Combine like terms: 13.25t + -13.25t = 0.00 8 + -11t = -14 + 0.00 8 + -11t = -14 Add '-8' to each side of the equation. 8 + -8 + -11t = -14 + -8 Combine like terms: 8 + -8 = 0 0 + -11t = -14 + -8 -11t = -14 + -8 Combine like terms: -14 + -8 = -22 -11t = -22 Divide each side by '-11'. t = 2 Simplifying t = 2
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