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Simplifying 7 + -8t + 4 = 5t + -2 Reorder the terms: 7 + 4 + -8t = 5t + -2 Combine like terms: 7 + 4 = 11 11 + -8t = 5t + -2 Reorder the terms: 11 + -8t = -2 + 5t Solving 11 + -8t = -2 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 11 + -8t + -5t = -2 + 5t + -5t Combine like terms: -8t + -5t = -13t 11 + -13t = -2 + 5t + -5t Combine like terms: 5t + -5t = 0 11 + -13t = -2 + 0 11 + -13t = -2 Add '-11' to each side of the equation. 11 + -11 + -13t = -2 + -11 Combine like terms: 11 + -11 = 0 0 + -13t = -2 + -11 -13t = -2 + -11 Combine like terms: -2 + -11 = -13 -13t = -13 Divide each side by '-13'. t = 1 Simplifying t = 1
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