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Simplifying 6t + -13 = 4t + 57 Reorder the terms: -13 + 6t = 4t + 57 Reorder the terms: -13 + 6t = 57 + 4t Solving -13 + 6t = 57 + 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. -13 + 6t + -4t = 57 + 4t + -4t Combine like terms: 6t + -4t = 2t -13 + 2t = 57 + 4t + -4t Combine like terms: 4t + -4t = 0 -13 + 2t = 57 + 0 -13 + 2t = 57 Add '13' to each side of the equation. -13 + 13 + 2t = 57 + 13 Combine like terms: -13 + 13 = 0 0 + 2t = 57 + 13 2t = 57 + 13 Combine like terms: 57 + 13 = 70 2t = 70 Divide each side by '2'. t = 35 Simplifying t = 35
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