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Simplifying (a + -2)(a + 4) + 6 = a2 + -4a + 5 Reorder the terms: (-2 + a)(a + 4) + 6 = a2 + -4a + 5 Reorder the terms: (-2 + a)(4 + a) + 6 = a2 + -4a + 5 Multiply (-2 + a) * (4 + a) (-2(4 + a) + a(4 + a)) + 6 = a2 + -4a + 5 ((4 * -2 + a * -2) + a(4 + a)) + 6 = a2 + -4a + 5 ((-8 + -2a) + a(4 + a)) + 6 = a2 + -4a + 5 (-8 + -2a + (4 * a + a * a)) + 6 = a2 + -4a + 5 (-8 + -2a + (4a + a2)) + 6 = a2 + -4a + 5 Combine like terms: -2a + 4a = 2a (-8 + 2a + a2) + 6 = a2 + -4a + 5 Reorder the terms: -8 + 6 + 2a + a2 = a2 + -4a + 5 Combine like terms: -8 + 6 = -2 -2 + 2a + a2 = a2 + -4a + 5 Reorder the terms: -2 + 2a + a2 = 5 + -4a + a2 Add '-1a2' to each side of the equation. -2 + 2a + a2 + -1a2 = 5 + -4a + a2 + -1a2 Combine like terms: a2 + -1a2 = 0 -2 + 2a + 0 = 5 + -4a + a2 + -1a2 -2 + 2a = 5 + -4a + a2 + -1a2 Combine like terms: a2 + -1a2 = 0 -2 + 2a = 5 + -4a + 0 -2 + 2a = 5 + -4a Solving -2 + 2a = 5 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -2 + 2a + 4a = 5 + -4a + 4a Combine like terms: 2a + 4a = 6a -2 + 6a = 5 + -4a + 4a Combine like terms: -4a + 4a = 0 -2 + 6a = 5 + 0 -2 + 6a = 5 Add '2' to each side of the equation. -2 + 2 + 6a = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 6a = 5 + 2 6a = 5 + 2 Combine like terms: 5 + 2 = 7 6a = 7 Divide each side by '6'. a = 1.166666667 Simplifying a = 1.166666667
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