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Simplifying -2(1 + -2a) = 4(5a + -2) (1 * -2 + -2a * -2) = 4(5a + -2) (-2 + 4a) = 4(5a + -2) Reorder the terms: -2 + 4a = 4(-2 + 5a) -2 + 4a = (-2 * 4 + 5a * 4) -2 + 4a = (-8 + 20a) Solving -2 + 4a = -8 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. -2 + 4a + -20a = -8 + 20a + -20a Combine like terms: 4a + -20a = -16a -2 + -16a = -8 + 20a + -20a Combine like terms: 20a + -20a = 0 -2 + -16a = -8 + 0 -2 + -16a = -8 Add '2' to each side of the equation. -2 + 2 + -16a = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -16a = -8 + 2 -16a = -8 + 2 Combine like terms: -8 + 2 = -6 -16a = -6 Divide each side by '-16'. a = 0.375 Simplifying a = 0.375
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