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Simplifying -3(5a + -1) + 4a = 2a + 7(5 + -3a) Reorder the terms: -3(-1 + 5a) + 4a = 2a + 7(5 + -3a) (-1 * -3 + 5a * -3) + 4a = 2a + 7(5 + -3a) (3 + -15a) + 4a = 2a + 7(5 + -3a) Combine like terms: -15a + 4a = -11a 3 + -11a = 2a + 7(5 + -3a) 3 + -11a = 2a + (5 * 7 + -3a * 7) 3 + -11a = 2a + (35 + -21a) Reorder the terms: 3 + -11a = 35 + 2a + -21a Combine like terms: 2a + -21a = -19a 3 + -11a = 35 + -19a Solving 3 + -11a = 35 + -19a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '19a' to each side of the equation. 3 + -11a + 19a = 35 + -19a + 19a Combine like terms: -11a + 19a = 8a 3 + 8a = 35 + -19a + 19a Combine like terms: -19a + 19a = 0 3 + 8a = 35 + 0 3 + 8a = 35 Add '-3' to each side of the equation. 3 + -3 + 8a = 35 + -3 Combine like terms: 3 + -3 = 0 0 + 8a = 35 + -3 8a = 35 + -3 Combine like terms: 35 + -3 = 32 8a = 32 Divide each side by '8'. a = 4 Simplifying a = 4
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