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Simplifying 4(a + -4) = 3(3a + 8) Reorder the terms: 4(-4 + a) = 3(3a + 8) (-4 * 4 + a * 4) = 3(3a + 8) (-16 + 4a) = 3(3a + 8) Reorder the terms: -16 + 4a = 3(8 + 3a) -16 + 4a = (8 * 3 + 3a * 3) -16 + 4a = (24 + 9a) Solving -16 + 4a = 24 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -16 + 4a + -9a = 24 + 9a + -9a Combine like terms: 4a + -9a = -5a -16 + -5a = 24 + 9a + -9a Combine like terms: 9a + -9a = 0 -16 + -5a = 24 + 0 -16 + -5a = 24 Add '16' to each side of the equation. -16 + 16 + -5a = 24 + 16 Combine like terms: -16 + 16 = 0 0 + -5a = 24 + 16 -5a = 24 + 16 Combine like terms: 24 + 16 = 40 -5a = 40 Divide each side by '-5'. a = -8 Simplifying a = -8
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