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Simplifying 3t + -5 = 5t + -13 Reorder the terms: -5 + 3t = 5t + -13 Reorder the terms: -5 + 3t = -13 + 5t Solving -5 + 3t = -13 + 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. -5 + 3t + -5t = -13 + 5t + -5t Combine like terms: 3t + -5t = -2t -5 + -2t = -13 + 5t + -5t Combine like terms: 5t + -5t = 0 -5 + -2t = -13 + 0 -5 + -2t = -13 Add '5' to each side of the equation. -5 + 5 + -2t = -13 + 5 Combine like terms: -5 + 5 = 0 0 + -2t = -13 + 5 -2t = -13 + 5 Combine like terms: -13 + 5 = -8 -2t = -8 Divide each side by '-2'. t = 4 Simplifying t = 4
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