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Simplifying 9 + 2t + -1 = 6t + 22 + -2t Reorder the terms: 9 + -1 + 2t = 6t + 22 + -2t Combine like terms: 9 + -1 = 8 8 + 2t = 6t + 22 + -2t Reorder the terms: 8 + 2t = 22 + 6t + -2t Combine like terms: 6t + -2t = 4t 8 + 2t = 22 + 4t Solving 8 + 2t = 22 + 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. 8 + 2t + -4t = 22 + 4t + -4t Combine like terms: 2t + -4t = -2t 8 + -2t = 22 + 4t + -4t Combine like terms: 4t + -4t = 0 8 + -2t = 22 + 0 8 + -2t = 22 Add '-8' to each side of the equation. 8 + -8 + -2t = 22 + -8 Combine like terms: 8 + -8 = 0 0 + -2t = 22 + -8 -2t = 22 + -8 Combine like terms: 22 + -8 = 14 -2t = 14 Divide each side by '-2'. t = -7 Simplifying t = -7
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