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