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Simplifying -3t + 5 = 2t + 15 Reorder the terms: 5 + -3t = 2t + 15 Reorder the terms: 5 + -3t = 15 + 2t Solving 5 + -3t = 15 + 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. 5 + -3t + -2t = 15 + 2t + -2t Combine like terms: -3t + -2t = -5t 5 + -5t = 15 + 2t + -2t Combine like terms: 2t + -2t = 0 5 + -5t = 15 + 0 5 + -5t = 15 Add '-5' to each side of the equation. 5 + -5 + -5t = 15 + -5 Combine like terms: 5 + -5 = 0 0 + -5t = 15 + -5 -5t = 15 + -5 Combine like terms: 15 + -5 = 10 -5t = 10 Divide each side by '-5'. t = -2 Simplifying t = -2
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