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Simplifying 4(2a + 6) + -3(4a + -8) = 0 Reorder the terms: 4(6 + 2a) + -3(4a + -8) = 0 (6 * 4 + 2a * 4) + -3(4a + -8) = 0 (24 + 8a) + -3(4a + -8) = 0 Reorder the terms: 24 + 8a + -3(-8 + 4a) = 0 24 + 8a + (-8 * -3 + 4a * -3) = 0 24 + 8a + (24 + -12a) = 0 Reorder the terms: 24 + 24 + 8a + -12a = 0 Combine like terms: 24 + 24 = 48 48 + 8a + -12a = 0 Combine like terms: 8a + -12a = -4a 48 + -4a = 0 Solving 48 + -4a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -4a = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -4a = 0 + -48 -4a = 0 + -48 Combine like terms: 0 + -48 = -48 -4a = -48 Divide each side by '-4'. a = 12 Simplifying a = 12
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