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Simplifying 5 + -1(2a + -3) = 7 + -1(3a + 5) Reorder the terms: 5 + -1(-3 + 2a) = 7 + -1(3a + 5) 5 + (-3 * -1 + 2a * -1) = 7 + -1(3a + 5) 5 + (3 + -2a) = 7 + -1(3a + 5) Combine like terms: 5 + 3 = 8 8 + -2a = 7 + -1(3a + 5) Reorder the terms: 8 + -2a = 7 + -1(5 + 3a) 8 + -2a = 7 + (5 * -1 + 3a * -1) 8 + -2a = 7 + (-5 + -3a) Combine like terms: 7 + -5 = 2 8 + -2a = 2 + -3a Solving 8 + -2a = 2 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 8 + -2a + 3a = 2 + -3a + 3a Combine like terms: -2a + 3a = 1a 8 + 1a = 2 + -3a + 3a Combine like terms: -3a + 3a = 0 8 + 1a = 2 + 0 8 + 1a = 2 Add '-8' to each side of the equation. 8 + -8 + 1a = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 1a = 2 + -8 1a = 2 + -8 Combine like terms: 2 + -8 = -6 1a = -6 Divide each side by '1'. a = -6 Simplifying a = -6
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