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Simplifying 8 + 9t + -7 = 5t + 55 + -2t Reorder the terms: 8 + -7 + 9t = 5t + 55 + -2t Combine like terms: 8 + -7 = 1 1 + 9t = 5t + 55 + -2t Reorder the terms: 1 + 9t = 55 + 5t + -2t Combine like terms: 5t + -2t = 3t 1 + 9t = 55 + 3t Solving 1 + 9t = 55 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 1 + 9t + -3t = 55 + 3t + -3t Combine like terms: 9t + -3t = 6t 1 + 6t = 55 + 3t + -3t Combine like terms: 3t + -3t = 0 1 + 6t = 55 + 0 1 + 6t = 55 Add '-1' to each side of the equation. 1 + -1 + 6t = 55 + -1 Combine like terms: 1 + -1 = 0 0 + 6t = 55 + -1 6t = 55 + -1 Combine like terms: 55 + -1 = 54 6t = 54 Divide each side by '6'. t = 9 Simplifying t = 9
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