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Simplifying 3(2t + 7) = 35 + 2t Reorder the terms: 3(7 + 2t) = 35 + 2t (7 * 3 + 2t * 3) = 35 + 2t (21 + 6t) = 35 + 2t Solving 21 + 6t = 35 + 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. 21 + 6t + -2t = 35 + 2t + -2t Combine like terms: 6t + -2t = 4t 21 + 4t = 35 + 2t + -2t Combine like terms: 2t + -2t = 0 21 + 4t = 35 + 0 21 + 4t = 35 Add '-21' to each side of the equation. 21 + -21 + 4t = 35 + -21 Combine like terms: 21 + -21 = 0 0 + 4t = 35 + -21 4t = 35 + -21 Combine like terms: 35 + -21 = 14 4t = 14 Divide each side by '4'. t = 3.5 Simplifying t = 3.5
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