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Simplifying 71 + -8t + 4 = 5t + -2 Reorder the terms: 71 + 4 + -8t = 5t + -2 Combine like terms: 71 + 4 = 75 75 + -8t = 5t + -2 Reorder the terms: 75 + -8t = -2 + 5t Solving 75 + -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. 75 + -8t + -5t = -2 + 5t + -5t Combine like terms: -8t + -5t = -13t 75 + -13t = -2 + 5t + -5t Combine like terms: 5t + -5t = 0 75 + -13t = -2 + 0 75 + -13t = -2 Add '-75' to each side of the equation. 75 + -75 + -13t = -2 + -75 Combine like terms: 75 + -75 = 0 0 + -13t = -2 + -75 -13t = -2 + -75 Combine like terms: -2 + -75 = -77 -13t = -77 Divide each side by '-13'. t = 5.923076923 Simplifying t = 5.923076923
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