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Simplifying 3t + 4(t + 15) + 2(2t) = 435 Reorder the terms: 3t + 4(15 + t) + 2(2t) = 435 3t + (15 * 4 + t * 4) + 2(2t) = 435 3t + (60 + 4t) + 2(2t) = 435 Remove parenthesis around (2t) 3t + 60 + 4t + 2 * 2t = 435 Multiply 2 * 2 3t + 60 + 4t + 4t = 435 Reorder the terms: 60 + 3t + 4t + 4t = 435 Combine like terms: 3t + 4t = 7t 60 + 7t + 4t = 435 Combine like terms: 7t + 4t = 11t 60 + 11t = 435 Solving 60 + 11t = 435 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 11t = 435 + -60 Combine like terms: 60 + -60 = 0 0 + 11t = 435 + -60 11t = 435 + -60 Combine like terms: 435 + -60 = 375 11t = 375 Divide each side by '11'. t = 34.09090909 Simplifying t = 34.09090909
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