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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 = 16 8t = 16 Divide each side by '8'. t = 2 Simplifying t = 2
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