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Simplifying 2t + 3 = 4t + -13 Reorder the terms: 3 + 2t = 4t + -13 Reorder the terms: 3 + 2t = -13 + 4t Solving 3 + 2t = -13 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 3 + 2t + -4t = -13 + 4t + -4t Combine like terms: 2t + -4t = -2t 3 + -2t = -13 + 4t + -4t Combine like terms: 4t + -4t = 0 3 + -2t = -13 + 0 3 + -2t = -13 Add '-3' to each side of the equation. 3 + -3 + -2t = -13 + -3 Combine like terms: 3 + -3 = 0 0 + -2t = -13 + -3 -2t = -13 + -3 Combine like terms: -13 + -3 = -16 -2t = -16 Divide each side by '-2'. t = 8 Simplifying t = 8
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