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Simplifying 2(t + a) = 5t + 7 Reorder the terms: 2(a + t) = 5t + 7 (a * 2 + t * 2) = 5t + 7 (2a + 2t) = 5t + 7 Reorder the terms: 2a + 2t = 7 + 5t Solving 2a + 2t = 7 + 5t Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2t' to each side of the equation. 2a + 2t + -2t = 7 + 5t + -2t Combine like terms: 2t + -2t = 0 2a + 0 = 7 + 5t + -2t 2a = 7 + 5t + -2t Combine like terms: 5t + -2t = 3t 2a = 7 + 3t Divide each side by '2'. a = 3.5 + 1.5t Simplifying a = 3.5 + 1.5t
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