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Simplifying 2 + -1(3a + 5) = 7 + -5a Reorder the terms: 2 + -1(5 + 3a) = 7 + -5a 2 + (5 * -1 + 3a * -1) = 7 + -5a 2 + (-5 + -3a) = 7 + -5a Combine like terms: 2 + -5 = -3 -3 + -3a = 7 + -5a Solving -3 + -3a = 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. -3 + -3a + 5a = 7 + -5a + 5a Combine like terms: -3a + 5a = 2a -3 + 2a = 7 + -5a + 5a Combine like terms: -5a + 5a = 0 -3 + 2a = 7 + 0 -3 + 2a = 7 Add '3' to each side of the equation. -3 + 3 + 2a = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 2a = 7 + 3 2a = 7 + 3 Combine like terms: 7 + 3 = 10 2a = 10 Divide each side by '2'. a = 5 Simplifying a = 5
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