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Simplifying 5t + 3 = -3t + -5 Reorder the terms: 3 + 5t = -3t + -5 Reorder the terms: 3 + 5t = -5 + -3t Solving 3 + 5t = -5 + -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. 3 + 5t + 3t = -5 + -3t + 3t Combine like terms: 5t + 3t = 8t 3 + 8t = -5 + -3t + 3t Combine like terms: -3t + 3t = 0 3 + 8t = -5 + 0 3 + 8t = -5 Add '-3' to each side of the equation. 3 + -3 + 8t = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 8t = -5 + -3 8t = -5 + -3 Combine like terms: -5 + -3 = -8 8t = -8 Divide each side by '8'. t = -1 Simplifying t = -1
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