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Simplifying 9 + 2t + -7 = 8t + 38 + -2t Reorder the terms: 9 + -7 + 2t = 8t + 38 + -2t Combine like terms: 9 + -7 = 2 2 + 2t = 8t + 38 + -2t Reorder the terms: 2 + 2t = 38 + 8t + -2t Combine like terms: 8t + -2t = 6t 2 + 2t = 38 + 6t Solving 2 + 2t = 38 + 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. 2 + 2t + -6t = 38 + 6t + -6t Combine like terms: 2t + -6t = -4t 2 + -4t = 38 + 6t + -6t Combine like terms: 6t + -6t = 0 2 + -4t = 38 + 0 2 + -4t = 38 Add '-2' to each side of the equation. 2 + -2 + -4t = 38 + -2 Combine like terms: 2 + -2 = 0 0 + -4t = 38 + -2 -4t = 38 + -2 Combine like terms: 38 + -2 = 36 -4t = 36 Divide each side by '-4'. t = -9 Simplifying t = -9
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