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Simplifying 4 + 2t + -3 = 8t + 10 + -5t Reorder the terms: 4 + -3 + 2t = 8t + 10 + -5t Combine like terms: 4 + -3 = 1 1 + 2t = 8t + 10 + -5t Reorder the terms: 1 + 2t = 10 + 8t + -5t Combine like terms: 8t + -5t = 3t 1 + 2t = 10 + 3t Solving 1 + 2t = 10 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 1 + 2t + -3t = 10 + 3t + -3t Combine like terms: 2t + -3t = -1t 1 + -1t = 10 + 3t + -3t Combine like terms: 3t + -3t = 0 1 + -1t = 10 + 0 1 + -1t = 10 Add '-1' to each side of the equation. 1 + -1 + -1t = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -1t = 10 + -1 -1t = 10 + -1 Combine like terms: 10 + -1 = 9 -1t = 9 Divide each side by '-1'. t = -9 Simplifying t = -9
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