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Simplifying 3t + -23 = 8t + 19 Reorder the terms: -23 + 3t = 8t + 19 Reorder the terms: -23 + 3t = 19 + 8t Solving -23 + 3t = 19 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. -23 + 3t + -8t = 19 + 8t + -8t Combine like terms: 3t + -8t = -5t -23 + -5t = 19 + 8t + -8t Combine like terms: 8t + -8t = 0 -23 + -5t = 19 + 0 -23 + -5t = 19 Add '23' to each side of the equation. -23 + 23 + -5t = 19 + 23 Combine like terms: -23 + 23 = 0 0 + -5t = 19 + 23 -5t = 19 + 23 Combine like terms: 19 + 23 = 42 -5t = 42 Divide each side by '-5'. t = -8.4 Simplifying t = -8.4
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