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Simplifying (4a + 3) + -8(2a + -4) + 4a = 0 Reorder the terms: (3 + 4a) + -8(2a + -4) + 4a = 0 Remove parenthesis around (3 + 4a) 3 + 4a + -8(2a + -4) + 4a = 0 Reorder the terms: 3 + 4a + -8(-4 + 2a) + 4a = 0 3 + 4a + (-4 * -8 + 2a * -8) + 4a = 0 3 + 4a + (32 + -16a) + 4a = 0 Reorder the terms: 3 + 32 + 4a + -16a + 4a = 0 Combine like terms: 3 + 32 = 35 35 + 4a + -16a + 4a = 0 Combine like terms: 4a + -16a = -12a 35 + -12a + 4a = 0 Combine like terms: -12a + 4a = -8a 35 + -8a = 0 Solving 35 + -8a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -8a = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -8a = 0 + -35 -8a = 0 + -35 Combine like terms: 0 + -35 = -35 -8a = -35 Divide each side by '-8'. a = 4.375 Simplifying a = 4.375
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