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Simplifying a + -1(3a + 5) = 7 + -5a Reorder the terms: a + -1(5 + 3a) = 7 + -5a a + (5 * -1 + 3a * -1) = 7 + -5a a + (-5 + -3a) = 7 + -5a Reorder the terms: -5 + a + -3a = 7 + -5a Combine like terms: a + -3a = -2a -5 + -2a = 7 + -5a Solving -5 + -2a = 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. -5 + -2a + 5a = 7 + -5a + 5a Combine like terms: -2a + 5a = 3a -5 + 3a = 7 + -5a + 5a Combine like terms: -5a + 5a = 0 -5 + 3a = 7 + 0 -5 + 3a = 7 Add '5' to each side of the equation. -5 + 5 + 3a = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 3a = 7 + 5 3a = 7 + 5 Combine like terms: 7 + 5 = 12 3a = 12 Divide each side by '3'. a = 4 Simplifying a = 4
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