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Simplifying -1t + 6t + -5 = 8 + -3t + -5 Reorder the terms: -5 + -1t + 6t = 8 + -3t + -5 Combine like terms: -1t + 6t = 5t -5 + 5t = 8 + -3t + -5 Reorder the terms: -5 + 5t = 8 + -5 + -3t Combine like terms: 8 + -5 = 3 -5 + 5t = 3 + -3t Solving -5 + 5t = 3 + -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. -5 + 5t + 3t = 3 + -3t + 3t Combine like terms: 5t + 3t = 8t -5 + 8t = 3 + -3t + 3t Combine like terms: -3t + 3t = 0 -5 + 8t = 3 + 0 -5 + 8t = 3 Add '5' to each side of the equation. -5 + 5 + 8t = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 8t = 3 + 5 8t = 3 + 5 Combine like terms: 3 + 5 = 8 8t = 8 Divide each side by '8'. t = 1 Simplifying t = 1
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