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Simplifying 5 + 3(8t + 2) = 7t + -4 Reorder the terms: 5 + 3(2 + 8t) = 7t + -4 5 + (2 * 3 + 8t * 3) = 7t + -4 5 + (6 + 24t) = 7t + -4 Combine like terms: 5 + 6 = 11 11 + 24t = 7t + -4 Reorder the terms: 11 + 24t = -4 + 7t Solving 11 + 24t = -4 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 11 + 24t + -7t = -4 + 7t + -7t Combine like terms: 24t + -7t = 17t 11 + 17t = -4 + 7t + -7t Combine like terms: 7t + -7t = 0 11 + 17t = -4 + 0 11 + 17t = -4 Add '-11' to each side of the equation. 11 + -11 + 17t = -4 + -11 Combine like terms: 11 + -11 = 0 0 + 17t = -4 + -11 17t = -4 + -11 Combine like terms: -4 + -11 = -15 17t = -15 Divide each side by '17'. t = -0.8823529412 Simplifying t = -0.8823529412
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