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Simplifying -5(8a + 4) = 4(1 + -8a) Reorder the terms: -5(4 + 8a) = 4(1 + -8a) (4 * -5 + 8a * -5) = 4(1 + -8a) (-20 + -40a) = 4(1 + -8a) -20 + -40a = (1 * 4 + -8a * 4) -20 + -40a = (4 + -32a) Solving -20 + -40a = 4 + -32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '32a' to each side of the equation. -20 + -40a + 32a = 4 + -32a + 32a Combine like terms: -40a + 32a = -8a -20 + -8a = 4 + -32a + 32a Combine like terms: -32a + 32a = 0 -20 + -8a = 4 + 0 -20 + -8a = 4 Add '20' to each side of the equation. -20 + 20 + -8a = 4 + 20 Combine like terms: -20 + 20 = 0 0 + -8a = 4 + 20 -8a = 4 + 20 Combine like terms: 4 + 20 = 24 -8a = 24 Divide each side by '-8'. a = -3 Simplifying a = -3
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