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Simplifying 6(-8a + 4) = -8(5a + 1) Reorder the terms: 6(4 + -8a) = -8(5a + 1) (4 * 6 + -8a * 6) = -8(5a + 1) (24 + -48a) = -8(5a + 1) Reorder the terms: 24 + -48a = -8(1 + 5a) 24 + -48a = (1 * -8 + 5a * -8) 24 + -48a = (-8 + -40a) Solving 24 + -48a = -8 + -40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '40a' to each side of the equation. 24 + -48a + 40a = -8 + -40a + 40a Combine like terms: -48a + 40a = -8a 24 + -8a = -8 + -40a + 40a Combine like terms: -40a + 40a = 0 24 + -8a = -8 + 0 24 + -8a = -8 Add '-24' to each side of the equation. 24 + -24 + -8a = -8 + -24 Combine like terms: 24 + -24 = 0 0 + -8a = -8 + -24 -8a = -8 + -24 Combine like terms: -8 + -24 = -32 -8a = -32 Divide each side by '-8'. a = 4 Simplifying a = 4
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