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Simplifying -5t + 10 = 8t + -9 Reorder the terms: 10 + -5t = 8t + -9 Reorder the terms: 10 + -5t = -9 + 8t Solving 10 + -5t = -9 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 10 + -5t + -8t = -9 + 8t + -8t Combine like terms: -5t + -8t = -13t 10 + -13t = -9 + 8t + -8t Combine like terms: 8t + -8t = 0 10 + -13t = -9 + 0 10 + -13t = -9 Add '-10' to each side of the equation. 10 + -10 + -13t = -9 + -10 Combine like terms: 10 + -10 = 0 0 + -13t = -9 + -10 -13t = -9 + -10 Combine like terms: -9 + -10 = -19 -13t = -19 Divide each side by '-13'. t = 1.461538462 Simplifying t = 1.461538462
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