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Simplifying 4(3t + 2) + -7t + 5 = 0 Reorder the terms: 4(2 + 3t) + -7t + 5 = 0 (2 * 4 + 3t * 4) + -7t + 5 = 0 (8 + 12t) + -7t + 5 = 0 Reorder the terms: 8 + 5 + 12t + -7t = 0 Combine like terms: 8 + 5 = 13 13 + 12t + -7t = 0 Combine like terms: 12t + -7t = 5t 13 + 5t = 0 Solving 13 + 5t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 5t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 5t = 0 + -13 5t = 0 + -13 Combine like terms: 0 + -13 = -13 5t = -13 Divide each side by '5'. t = -2.6 Simplifying t = -2.6
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