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Simplifying t * 2 + 1 = 2t * 3 + 2 Reorder the terms for easier multiplication: 2t + 1 = 2t * 3 + 2 Reorder the terms: 1 + 2t = 2t * 3 + 2 Reorder the terms for easier multiplication: 1 + 2t = 2 * 3t + 2 Multiply 2 * 3 1 + 2t = 6t + 2 Reorder the terms: 1 + 2t = 2 + 6t Solving 1 + 2t = 2 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 1 + 2t + -6t = 2 + 6t + -6t Combine like terms: 2t + -6t = -4t 1 + -4t = 2 + 6t + -6t Combine like terms: 6t + -6t = 0 1 + -4t = 2 + 0 1 + -4t = 2 Add '-1' to each side of the equation. 1 + -1 + -4t = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -4t = 2 + -1 -4t = 2 + -1 Combine like terms: 2 + -1 = 1 -4t = 1 Divide each side by '-4'. t = -0.25 Simplifying t = -0.25
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