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Simplifying a(a + -6) + 2a = 3 + a(a + -2) Reorder the terms: a(-6 + a) + 2a = 3 + a(a + -2) (-6 * a + a * a) + 2a = 3 + a(a + -2) (-6a + a2) + 2a = 3 + a(a + -2) Reorder the terms: -6a + 2a + a2 = 3 + a(a + -2) Combine like terms: -6a + 2a = -4a -4a + a2 = 3 + a(a + -2) Reorder the terms: -4a + a2 = 3 + a(-2 + a) -4a + a2 = 3 + (-2 * a + a * a) -4a + a2 = 3 + (-2a + a2) Add '-1a2' to each side of the equation. -4a + a2 + -1a2 = 3 + -2a + a2 + -1a2 Combine like terms: a2 + -1a2 = 0 -4a + 0 = 3 + -2a + a2 + -1a2 -4a = 3 + -2a + a2 + -1a2 Combine like terms: a2 + -1a2 = 0 -4a = 3 + -2a + 0 -4a = 3 + -2a Solving -4a = 3 + -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. -4a + 2a = 3 + -2a + 2a Combine like terms: -4a + 2a = -2a -2a = 3 + -2a + 2a Combine like terms: -2a + 2a = 0 -2a = 3 + 0 -2a = 3 Divide each side by '-2'. a = -1.5 Simplifying a = -1.5
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