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Simplifying 5t + 9 = -3t + 7 Reorder the terms: 9 + 5t = -3t + 7 Reorder the terms: 9 + 5t = 7 + -3t Solving 9 + 5t = 7 + -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. 9 + 5t + 3t = 7 + -3t + 3t Combine like terms: 5t + 3t = 8t 9 + 8t = 7 + -3t + 3t Combine like terms: -3t + 3t = 0 9 + 8t = 7 + 0 9 + 8t = 7 Add '-9' to each side of the equation. 9 + -9 + 8t = 7 + -9 Combine like terms: 9 + -9 = 0 0 + 8t = 7 + -9 8t = 7 + -9 Combine like terms: 7 + -9 = -2 8t = -2 Divide each side by '8'. t = -0.25 Simplifying t = -0.25
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