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Simplifying 3t + 1 = 5t + -15 Reorder the terms: 1 + 3t = 5t + -15 Reorder the terms: 1 + 3t = -15 + 5t Solving 1 + 3t = -15 + 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. 1 + 3t + -5t = -15 + 5t + -5t Combine like terms: 3t + -5t = -2t 1 + -2t = -15 + 5t + -5t Combine like terms: 5t + -5t = 0 1 + -2t = -15 + 0 1 + -2t = -15 Add '-1' to each side of the equation. 1 + -1 + -2t = -15 + -1 Combine like terms: 1 + -1 = 0 0 + -2t = -15 + -1 -2t = -15 + -1 Combine like terms: -15 + -1 = -16 -2t = -16 Divide each side by '-2'. t = 8 Simplifying t = 8
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