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Simplifying 5(t + 4) + 3t = 2t Reorder the terms: 5(4 + t) + 3t = 2t (4 * 5 + t * 5) + 3t = 2t (20 + 5t) + 3t = 2t Combine like terms: 5t + 3t = 8t 20 + 8t = 2t Solving 20 + 8t = 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 20 + 8t + -2t = 2t + -2t Combine like terms: 8t + -2t = 6t 20 + 6t = 2t + -2t Combine like terms: 2t + -2t = 0 20 + 6t = 0 Add '-20' to each side of the equation. 20 + -20 + 6t = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 6t = 0 + -20 6t = 0 + -20 Combine like terms: 0 + -20 = -20 6t = -20 Divide each side by '6'. t = -3.333333333 Simplifying t = -3.333333333
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