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Simplifying 3t + 1 = -19 + -2t Reorder the terms: 1 + 3t = -19 + -2t Solving 1 + 3t = -19 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. 1 + 3t + 2t = -19 + -2t + 2t Combine like terms: 3t + 2t = 5t 1 + 5t = -19 + -2t + 2t Combine like terms: -2t + 2t = 0 1 + 5t = -19 + 0 1 + 5t = -19 Add '-1' to each side of the equation. 1 + -1 + 5t = -19 + -1 Combine like terms: 1 + -1 = 0 0 + 5t = -19 + -1 5t = -19 + -1 Combine like terms: -19 + -1 = -20 5t = -20 Divide each side by '5'. t = -4 Simplifying t = -4
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