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Simplifying 9 + 2t + -7 = 8 + -4t Reorder the terms: 9 + -7 + 2t = 8 + -4t Combine like terms: 9 + -7 = 2 2 + 2t = 8 + -4t Solving 2 + 2t = 8 + -4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. 2 + 2t + 4t = 8 + -4t + 4t Combine like terms: 2t + 4t = 6t 2 + 6t = 8 + -4t + 4t Combine like terms: -4t + 4t = 0 2 + 6t = 8 + 0 2 + 6t = 8 Add '-2' to each side of the equation. 2 + -2 + 6t = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 6t = 8 + -2 6t = 8 + -2 Combine like terms: 8 + -2 = 6 6t = 6 Divide each side by '6'. t = 1 Simplifying t = 1
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