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Simplifying (t + 1) * 3 + (2t) * 4 = 0 Reorder the terms: (1 + t) * 3 + (2t) * 4 = 0 Reorder the terms for easier multiplication: 3(1 + t) + (2t) * 4 = 0 (1 * 3 + t * 3) + (2t) * 4 = 0 (3 + 3t) + (2t) * 4 = 0 Remove parenthesis around (2t) 3 + 3t + 2t * 4 = 0 Reorder the terms for easier multiplication: 3 + 3t + 2 * 4t = 0 Multiply 2 * 4 3 + 3t + 8t = 0 Combine like terms: 3t + 8t = 11t 3 + 11t = 0 Solving 3 + 11t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 11t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 11t = 0 + -3 11t = 0 + -3 Combine like terms: 0 + -3 = -3 11t = -3 Divide each side by '11'. t = -0.2727272727 Simplifying t = -0.2727272727
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