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Simplifying -6(2a + -4) = 3(-5a + 4) Reorder the terms: -6(-4 + 2a) = 3(-5a + 4) (-4 * -6 + 2a * -6) = 3(-5a + 4) (24 + -12a) = 3(-5a + 4) Reorder the terms: 24 + -12a = 3(4 + -5a) 24 + -12a = (4 * 3 + -5a * 3) 24 + -12a = (12 + -15a) Solving 24 + -12a = 12 + -15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15a' to each side of the equation. 24 + -12a + 15a = 12 + -15a + 15a Combine like terms: -12a + 15a = 3a 24 + 3a = 12 + -15a + 15a Combine like terms: -15a + 15a = 0 24 + 3a = 12 + 0 24 + 3a = 12 Add '-24' to each side of the equation. 24 + -24 + 3a = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 3a = 12 + -24 3a = 12 + -24 Combine like terms: 12 + -24 = -12 3a = -12 Divide each side by '3'. a = -4 Simplifying a = -4
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