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Simplifying -4(1 + a) = 2a + -8(5 + 3a) (1 * -4 + a * -4) = 2a + -8(5 + 3a) (-4 + -4a) = 2a + -8(5 + 3a) -4 + -4a = 2a + (5 * -8 + 3a * -8) -4 + -4a = 2a + (-40 + -24a) Reorder the terms: -4 + -4a = -40 + 2a + -24a Combine like terms: 2a + -24a = -22a -4 + -4a = -40 + -22a Solving -4 + -4a = -40 + -22a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '22a' to each side of the equation. -4 + -4a + 22a = -40 + -22a + 22a Combine like terms: -4a + 22a = 18a -4 + 18a = -40 + -22a + 22a Combine like terms: -22a + 22a = 0 -4 + 18a = -40 + 0 -4 + 18a = -40 Add '4' to each side of the equation. -4 + 4 + 18a = -40 + 4 Combine like terms: -4 + 4 = 0 0 + 18a = -40 + 4 18a = -40 + 4 Combine like terms: -40 + 4 = -36 18a = -36 Divide each side by '18'. a = -2 Simplifying a = -2
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