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Simplifying 3(t + 7) + t = 6t + -2 + 2t Reorder the terms: 3(7 + t) + t = 6t + -2 + 2t (7 * 3 + t * 3) + t = 6t + -2 + 2t (21 + 3t) + t = 6t + -2 + 2t Combine like terms: 3t + t = 4t 21 + 4t = 6t + -2 + 2t Reorder the terms: 21 + 4t = -2 + 6t + 2t Combine like terms: 6t + 2t = 8t 21 + 4t = -2 + 8t Solving 21 + 4t = -2 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 21 + 4t + -8t = -2 + 8t + -8t Combine like terms: 4t + -8t = -4t 21 + -4t = -2 + 8t + -8t Combine like terms: 8t + -8t = 0 21 + -4t = -2 + 0 21 + -4t = -2 Add '-21' to each side of the equation. 21 + -21 + -4t = -2 + -21 Combine like terms: 21 + -21 = 0 0 + -4t = -2 + -21 -4t = -2 + -21 Combine like terms: -2 + -21 = -23 -4t = -23 Divide each side by '-4'. t = 5.75 Simplifying t = 5.75
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