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Simplifying 5 + 4(t + 2) = 2(t + 7) + 1 Reorder the terms: 5 + 4(2 + t) = 2(t + 7) + 1 5 + (2 * 4 + t * 4) = 2(t + 7) + 1 5 + (8 + 4t) = 2(t + 7) + 1 Combine like terms: 5 + 8 = 13 13 + 4t = 2(t + 7) + 1 Reorder the terms: 13 + 4t = 2(7 + t) + 1 13 + 4t = (7 * 2 + t * 2) + 1 13 + 4t = (14 + 2t) + 1 Reorder the terms: 13 + 4t = 14 + 1 + 2t Combine like terms: 14 + 1 = 15 13 + 4t = 15 + 2t Solving 13 + 4t = 15 + 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. 13 + 4t + -2t = 15 + 2t + -2t Combine like terms: 4t + -2t = 2t 13 + 2t = 15 + 2t + -2t Combine like terms: 2t + -2t = 0 13 + 2t = 15 + 0 13 + 2t = 15 Add '-13' to each side of the equation. 13 + -13 + 2t = 15 + -13 Combine like terms: 13 + -13 = 0 0 + 2t = 15 + -13 2t = 15 + -13 Combine like terms: 15 + -13 = 2 2t = 2 Divide each side by '2'. t = 1 Simplifying t = 1
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