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Simplifying -8(4 + -8a) = 16(5 * 4a + -8) (4 * -8 + -8a * -8) = 16(5 * 4a + -8) (-32 + 64a) = 16(5 * 4a + -8) Multiply 5 * 4 -32 + 64a = 16(20a + -8) Reorder the terms: -32 + 64a = 16(-8 + 20a) -32 + 64a = (-8 * 16 + 20a * 16) -32 + 64a = (-128 + 320a) Solving -32 + 64a = -128 + 320a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-320a' to each side of the equation. -32 + 64a + -320a = -128 + 320a + -320a Combine like terms: 64a + -320a = -256a -32 + -256a = -128 + 320a + -320a Combine like terms: 320a + -320a = 0 -32 + -256a = -128 + 0 -32 + -256a = -128 Add '32' to each side of the equation. -32 + 32 + -256a = -128 + 32 Combine like terms: -32 + 32 = 0 0 + -256a = -128 + 32 -256a = -128 + 32 Combine like terms: -128 + 32 = -96 -256a = -96 Divide each side by '-256'. a = 0.375 Simplifying a = 0.375
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