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Simplifying 2t + 2a = 5a + 7 Reorder the terms: 2a + 2t = 5a + 7 Reorder the terms: 2a + 2t = 7 + 5a Solving 2a + 2t = 7 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 2a + -5a + 2t = 7 + 5a + -5a Combine like terms: 2a + -5a = -3a -3a + 2t = 7 + 5a + -5a Combine like terms: 5a + -5a = 0 -3a + 2t = 7 + 0 -3a + 2t = 7 Add '-2t' to each side of the equation. -3a + 2t + -2t = 7 + -2t Combine like terms: 2t + -2t = 0 -3a + 0 = 7 + -2t -3a = 7 + -2t Divide each side by '-3'. a = -2.333333333 + 0.6666666667t Simplifying a = -2.333333333 + 0.6666666667t
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