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Simplifying 2(a + t) = 5(t + 7) (a * 2 + t * 2) = 5(t + 7) (2a + 2t) = 5(t + 7) Reorder the terms: 2a + 2t = 5(7 + t) 2a + 2t = (7 * 5 + t * 5) 2a + 2t = (35 + 5t) Solving 2a + 2t = 35 + 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 = 35 + 5t + -2t Combine like terms: 2t + -2t = 0 2a + 0 = 35 + 5t + -2t 2a = 35 + 5t + -2t Combine like terms: 5t + -2t = 3t 2a = 35 + 3t Divide each side by '2'. a = 17.5 + 1.5t Simplifying a = 17.5 + 1.5t
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