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Simplifying 3(t + 7) + 2 = 6 + -2 + 2t Reorder the terms: 3(7 + t) + 2 = 6 + -2 + 2t (7 * 3 + t * 3) + 2 = 6 + -2 + 2t (21 + 3t) + 2 = 6 + -2 + 2t Reorder the terms: 21 + 2 + 3t = 6 + -2 + 2t Combine like terms: 21 + 2 = 23 23 + 3t = 6 + -2 + 2t Combine like terms: 6 + -2 = 4 23 + 3t = 4 + 2t Solving 23 + 3t = 4 + 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. 23 + 3t + -2t = 4 + 2t + -2t Combine like terms: 3t + -2t = 1t 23 + 1t = 4 + 2t + -2t Combine like terms: 2t + -2t = 0 23 + 1t = 4 + 0 23 + 1t = 4 Add '-23' to each side of the equation. 23 + -23 + 1t = 4 + -23 Combine like terms: 23 + -23 = 0 0 + 1t = 4 + -23 1t = 4 + -23 Combine like terms: 4 + -23 = -19 1t = -19 Divide each side by '1'. t = -19 Simplifying t = -19
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