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Simplifying 3t + -13 = -5 + 2t Reorder the terms: -13 + 3t = -5 + 2t Solving -13 + 3t = -5 + 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. -13 + 3t + -2t = -5 + 2t + -2t Combine like terms: 3t + -2t = 1t -13 + 1t = -5 + 2t + -2t Combine like terms: 2t + -2t = 0 -13 + 1t = -5 + 0 -13 + 1t = -5 Add '13' to each side of the equation. -13 + 13 + 1t = -5 + 13 Combine like terms: -13 + 13 = 0 0 + 1t = -5 + 13 1t = -5 + 13 Combine like terms: -5 + 13 = 8 1t = 8 Divide each side by '1'. t = 8 Simplifying t = 8
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