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Simplifying 4(t + 6) + 3t + 5 = 0 Reorder the terms: 4(6 + t) + 3t + 5 = 0 (6 * 4 + t * 4) + 3t + 5 = 0 (24 + 4t) + 3t + 5 = 0 Reorder the terms: 24 + 5 + 4t + 3t = 0 Combine like terms: 24 + 5 = 29 29 + 4t + 3t = 0 Combine like terms: 4t + 3t = 7t 29 + 7t = 0 Solving 29 + 7t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 7t = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 7t = 0 + -29 7t = 0 + -29 Combine like terms: 0 + -29 = -29 7t = -29 Divide each side by '7'. t = -4.142857143 Simplifying t = -4.142857143
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