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