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Simplifying a(a + 4) + -6(a + 4) = a(a + -4) + 6(a + -4) Reorder the terms: a(4 + a) + -6(a + 4) = a(a + -4) + 6(a + -4) (4 * a + a * a) + -6(a + 4) = a(a + -4) + 6(a + -4) (4a + a2) + -6(a + 4) = a(a + -4) + 6(a + -4) Reorder the terms: 4a + a2 + -6(4 + a) = a(a + -4) + 6(a + -4) 4a + a2 + (4 * -6 + a * -6) = a(a + -4) + 6(a + -4) 4a + a2 + (-24 + -6a) = a(a + -4) + 6(a + -4) Reorder the terms: -24 + 4a + -6a + a2 = a(a + -4) + 6(a + -4) Combine like terms: 4a + -6a = -2a -24 + -2a + a2 = a(a + -4) + 6(a + -4) Reorder the terms: -24 + -2a + a2 = a(-4 + a) + 6(a + -4) -24 + -2a + a2 = (-4 * a + a * a) + 6(a + -4) -24 + -2a + a2 = (-4a + a2) + 6(a + -4) Reorder the terms: -24 + -2a + a2 = -4a + a2 + 6(-4 + a) -24 + -2a + a2 = -4a + a2 + (-4 * 6 + a * 6) -24 + -2a + a2 = -4a + a2 + (-24 + 6a) Reorder the terms: -24 + -2a + a2 = -24 + -4a + 6a + a2 Combine like terms: -4a + 6a = 2a -24 + -2a + a2 = -24 + 2a + a2 Add '24' to each side of the equation. -24 + -2a + 24 + a2 = -24 + 2a + 24 + a2 Reorder the terms: -24 + 24 + -2a + a2 = -24 + 2a + 24 + a2 Combine like terms: -24 + 24 = 0 0 + -2a + a2 = -24 + 2a + 24 + a2 -2a + a2 = -24 + 2a + 24 + a2 Reorder the terms: -2a + a2 = -24 + 24 + 2a + a2 Combine like terms: -24 + 24 = 0 -2a + a2 = 0 + 2a + a2 -2a + a2 = 2a + a2 Add '-1a2' to each side of the equation. -2a + a2 + -1a2 = 2a + a2 + -1a2 Combine like terms: a2 + -1a2 = 0 -2a + 0 = 2a + a2 + -1a2 -2a = 2a + a2 + -1a2 Combine like terms: a2 + -1a2 = 0 -2a = 2a + 0 -2a = 2a Solving -2a = 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -2a + -2a = 2a + -2a Combine like terms: -2a + -2a = -4a -4a = 2a + -2a Combine like terms: 2a + -2a = 0 -4a = 0 Divide each side by '-4'. a = 0 Simplifying a = 0
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