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Simplifying 2t + -3 = 45 + 8t Reorder the terms: -3 + 2t = 45 + 8t Solving -3 + 2t = 45 + 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. -3 + 2t + -8t = 45 + 8t + -8t Combine like terms: 2t + -8t = -6t -3 + -6t = 45 + 8t + -8t Combine like terms: 8t + -8t = 0 -3 + -6t = 45 + 0 -3 + -6t = 45 Add '3' to each side of the equation. -3 + 3 + -6t = 45 + 3 Combine like terms: -3 + 3 = 0 0 + -6t = 45 + 3 -6t = 45 + 3 Combine like terms: 45 + 3 = 48 -6t = 48 Divide each side by '-6'. t = -8 Simplifying t = -8
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