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Simplifying 7 + -1t + 2t = 3 + -3t + 8 + 5t Combine like terms: -1t + 2t = 1t 7 + 1t = 3 + -3t + 8 + 5t Reorder the terms: 7 + 1t = 3 + 8 + -3t + 5t Combine like terms: 3 + 8 = 11 7 + 1t = 11 + -3t + 5t Combine like terms: -3t + 5t = 2t 7 + 1t = 11 + 2t Solving 7 + 1t = 11 + 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. 7 + 1t + -2t = 11 + 2t + -2t Combine like terms: 1t + -2t = -1t 7 + -1t = 11 + 2t + -2t Combine like terms: 2t + -2t = 0 7 + -1t = 11 + 0 7 + -1t = 11 Add '-7' to each side of the equation. 7 + -7 + -1t = 11 + -7 Combine like terms: 7 + -7 = 0 0 + -1t = 11 + -7 -1t = 11 + -7 Combine like terms: 11 + -7 = 4 -1t = 4 Divide each side by '-1'. t = -4 Simplifying t = -4
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