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