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Simplifying 9t + 8 = 7t + -40 Reorder the terms: 8 + 9t = 7t + -40 Reorder the terms: 8 + 9t = -40 + 7t Solving 8 + 9t = -40 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 8 + 9t + -7t = -40 + 7t + -7t Combine like terms: 9t + -7t = 2t 8 + 2t = -40 + 7t + -7t Combine like terms: 7t + -7t = 0 8 + 2t = -40 + 0 8 + 2t = -40 Add '-8' to each side of the equation. 8 + -8 + 2t = -40 + -8 Combine like terms: 8 + -8 = 0 0 + 2t = -40 + -8 2t = -40 + -8 Combine like terms: -40 + -8 = -48 2t = -48 Divide each side by '2'. t = -24 Simplifying t = -24
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