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Simplifying 5(4 + t) + -3(t + 1) = 0 (4 * 5 + t * 5) + -3(t + 1) = 0 (20 + 5t) + -3(t + 1) = 0 Reorder the terms: 20 + 5t + -3(1 + t) = 0 20 + 5t + (1 * -3 + t * -3) = 0 20 + 5t + (-3 + -3t) = 0 Reorder the terms: 20 + -3 + 5t + -3t = 0 Combine like terms: 20 + -3 = 17 17 + 5t + -3t = 0 Combine like terms: 5t + -3t = 2t 17 + 2t = 0 Solving 17 + 2t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 2t = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 2t = 0 + -17 2t = 0 + -17 Combine like terms: 0 + -17 = -17 2t = -17 Divide each side by '2'. t = -8.5 Simplifying t = -8.5
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