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Simplifying 7 + 2t + -2 = 6t + 17 + -2t Reorder the terms: 7 + -2 + 2t = 6t + 17 + -2t Combine like terms: 7 + -2 = 5 5 + 2t = 6t + 17 + -2t Reorder the terms: 5 + 2t = 17 + 6t + -2t Combine like terms: 6t + -2t = 4t 5 + 2t = 17 + 4t Solving 5 + 2t = 17 + 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. 5 + 2t + -4t = 17 + 4t + -4t Combine like terms: 2t + -4t = -2t 5 + -2t = 17 + 4t + -4t Combine like terms: 4t + -4t = 0 5 + -2t = 17 + 0 5 + -2t = 17 Add '-5' to each side of the equation. 5 + -5 + -2t = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -2t = 17 + -5 -2t = 17 + -5 Combine like terms: 17 + -5 = 12 -2t = 12 Divide each side by '-2'. t = -6 Simplifying t = -6
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