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Simplifying 8(a + -4) = 3a + -4(8a + 8) Reorder the terms: 8(-4 + a) = 3a + -4(8a + 8) (-4 * 8 + a * 8) = 3a + -4(8a + 8) (-32 + 8a) = 3a + -4(8a + 8) Reorder the terms: -32 + 8a = 3a + -4(8 + 8a) -32 + 8a = 3a + (8 * -4 + 8a * -4) -32 + 8a = 3a + (-32 + -32a) Reorder the terms: -32 + 8a = -32 + 3a + -32a Combine like terms: 3a + -32a = -29a -32 + 8a = -32 + -29a Add '32' to each side of the equation. -32 + 32 + 8a = -32 + 32 + -29a Combine like terms: -32 + 32 = 0 0 + 8a = -32 + 32 + -29a 8a = -32 + 32 + -29a Combine like terms: -32 + 32 = 0 8a = 0 + -29a 8a = -29a Solving 8a = -29a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '29a' to each side of the equation. 8a + 29a = -29a + 29a Combine like terms: 8a + 29a = 37a 37a = -29a + 29a Combine like terms: -29a + 29a = 0 37a = 0 Divide each side by '37'. a = 0 Simplifying a = 0
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