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Simplifying 3t + -5 = 19 + -5t Reorder the terms: -5 + 3t = 19 + -5t Solving -5 + 3t = 19 + -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. -5 + 3t + 5t = 19 + -5t + 5t Combine like terms: 3t + 5t = 8t -5 + 8t = 19 + -5t + 5t Combine like terms: -5t + 5t = 0 -5 + 8t = 19 + 0 -5 + 8t = 19 Add '5' to each side of the equation. -5 + 5 + 8t = 19 + 5 Combine like terms: -5 + 5 = 0 0 + 8t = 19 + 5 8t = 19 + 5 Combine like terms: 19 + 5 = 24 8t = 24 Divide each side by '8'. t = 3 Simplifying t = 3
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