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Simplifying -4(1 + a) = 2a + -8(5 + 3) * a (1 * -4 + a * -4) = 2a + -8(5 + 3) * a (-4 + -4a) = 2a + -8(5 + 3) * a Combine like terms: 5 + 3 = 8 -4 + -4a = 2a + -8(8) * a Multiply -8 * 8 -4 + -4a = 2a + -64a Combine like terms: 2a + -64a = -62a -4 + -4a = -62a Solving -4 + -4a = -62a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '62a' to each side of the equation. -4 + -4a + 62a = -62a + 62a Combine like terms: -4a + 62a = 58a -4 + 58a = -62a + 62a Combine like terms: -62a + 62a = 0 -4 + 58a = 0 Add '4' to each side of the equation. -4 + 4 + 58a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 58a = 0 + 4 58a = 0 + 4 Combine like terms: 0 + 4 = 4 58a = 4 Divide each side by '58'. a = 0.06896551724 Simplifying a = 0.06896551724
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