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Simplifying (7t + 8) = 2(t + 1) + 2 Reorder the terms: (8 + 7t) = 2(t + 1) + 2 Remove parenthesis around (8 + 7t) 8 + 7t = 2(t + 1) + 2 Reorder the terms: 8 + 7t = 2(1 + t) + 2 8 + 7t = (1 * 2 + t * 2) + 2 8 + 7t = (2 + 2t) + 2 Reorder the terms: 8 + 7t = 2 + 2 + 2t Combine like terms: 2 + 2 = 4 8 + 7t = 4 + 2t Solving 8 + 7t = 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. 8 + 7t + -2t = 4 + 2t + -2t Combine like terms: 7t + -2t = 5t 8 + 5t = 4 + 2t + -2t Combine like terms: 2t + -2t = 0 8 + 5t = 4 + 0 8 + 5t = 4 Add '-8' to each side of the equation. 8 + -8 + 5t = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 5t = 4 + -8 5t = 4 + -8 Combine like terms: 4 + -8 = -4 5t = -4 Divide each side by '5'. t = -0.8 Simplifying t = -0.8
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