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Simplifying 4(a + 3) = 2(a + -2) Reorder the terms: 4(3 + a) = 2(a + -2) (3 * 4 + a * 4) = 2(a + -2) (12 + 4a) = 2(a + -2) Reorder the terms: 12 + 4a = 2(-2 + a) 12 + 4a = (-2 * 2 + a * 2) 12 + 4a = (-4 + 2a) Solving 12 + 4a = -4 + 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. 12 + 4a + -2a = -4 + 2a + -2a Combine like terms: 4a + -2a = 2a 12 + 2a = -4 + 2a + -2a Combine like terms: 2a + -2a = 0 12 + 2a = -4 + 0 12 + 2a = -4 Add '-12' to each side of the equation. 12 + -12 + 2a = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 2a = -4 + -12 2a = -4 + -12 Combine like terms: -4 + -12 = -16 2a = -16 Divide each side by '2'. a = -8 Simplifying a = -8
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