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Simplifying 2a(a + -1) = a(2a + 1) Reorder the terms: 2a(-1 + a) = a(2a + 1) (-1 * 2a + a * 2a) = a(2a + 1) (-2a + 2a2) = a(2a + 1) Reorder the terms: -2a + 2a2 = a(1 + 2a) -2a + 2a2 = (1 * a + 2a * a) -2a + 2a2 = (1a + 2a2) Add '-2a2' to each side of the equation. -2a + 2a2 + -2a2 = 1a + 2a2 + -2a2 Combine like terms: 2a2 + -2a2 = 0 -2a + 0 = 1a + 2a2 + -2a2 -2a = 1a + 2a2 + -2a2 Combine like terms: 2a2 + -2a2 = 0 -2a = 1a + 0 -2a = 1a Solving -2a = 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -2a + -1a = 1a + -1a Combine like terms: -2a + -1a = -3a -3a = 1a + -1a Combine like terms: 1a + -1a = 0 -3a = 0 Divide each side by '-3'. a = 0 Simplifying a = 0
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