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Simplifying 5(t + 3) + -2t = 30 Reorder the terms: 5(3 + t) + -2t = 30 (3 * 5 + t * 5) + -2t = 30 (15 + 5t) + -2t = 30 Combine like terms: 5t + -2t = 3t 15 + 3t = 30 Solving 15 + 3t = 30 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 3t = 30 + -15 Combine like terms: 15 + -15 = 0 0 + 3t = 30 + -15 3t = 30 + -15 Combine like terms: 30 + -15 = 15 3t = 15 Divide each side by '3'. t = 5 Simplifying t = 5
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