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Simplifying 3t + -13 = 5t + 2 Reorder the terms: -13 + 3t = 5t + 2 Reorder the terms: -13 + 3t = 2 + 5t Solving -13 + 3t = 2 + 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. -13 + 3t + -5t = 2 + 5t + -5t Combine like terms: 3t + -5t = -2t -13 + -2t = 2 + 5t + -5t Combine like terms: 5t + -5t = 0 -13 + -2t = 2 + 0 -13 + -2t = 2 Add '13' to each side of the equation. -13 + 13 + -2t = 2 + 13 Combine like terms: -13 + 13 = 0 0 + -2t = 2 + 13 -2t = 2 + 13 Combine like terms: 2 + 13 = 15 -2t = 15 Divide each side by '-2'. t = -7.5 Simplifying t = -7.5
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