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Simplifying 8(6a + 6) = 6(4a + -4) Reorder the terms: 8(6 + 6a) = 6(4a + -4) (6 * 8 + 6a * 8) = 6(4a + -4) (48 + 48a) = 6(4a + -4) Reorder the terms: 48 + 48a = 6(-4 + 4a) 48 + 48a = (-4 * 6 + 4a * 6) 48 + 48a = (-24 + 24a) Solving 48 + 48a = -24 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. 48 + 48a + -24a = -24 + 24a + -24a Combine like terms: 48a + -24a = 24a 48 + 24a = -24 + 24a + -24a Combine like terms: 24a + -24a = 0 48 + 24a = -24 + 0 48 + 24a = -24 Add '-48' to each side of the equation. 48 + -48 + 24a = -24 + -48 Combine like terms: 48 + -48 = 0 0 + 24a = -24 + -48 24a = -24 + -48 Combine like terms: -24 + -48 = -72 24a = -72 Divide each side by '24'. a = -3 Simplifying a = -3
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