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Simplifying 4 + 2t + -3 = 8t + 25 + -2t Reorder the terms: 4 + -3 + 2t = 8t + 25 + -2t Combine like terms: 4 + -3 = 1 1 + 2t = 8t + 25 + -2t Reorder the terms: 1 + 2t = 25 + 8t + -2t Combine like terms: 8t + -2t = 6t 1 + 2t = 25 + 6t Solving 1 + 2t = 25 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 1 + 2t + -6t = 25 + 6t + -6t Combine like terms: 2t + -6t = -4t 1 + -4t = 25 + 6t + -6t Combine like terms: 6t + -6t = 0 1 + -4t = 25 + 0 1 + -4t = 25 Add '-1' to each side of the equation. 1 + -1 + -4t = 25 + -1 Combine like terms: 1 + -1 = 0 0 + -4t = 25 + -1 -4t = 25 + -1 Combine like terms: 25 + -1 = 24 -4t = 24 Divide each side by '-4'. t = -6 Simplifying t = -6
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