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Simplifying 4(a + -2) = 2(a + 3) + 6 Reorder the terms: 4(-2 + a) = 2(a + 3) + 6 (-2 * 4 + a * 4) = 2(a + 3) + 6 (-8 + 4a) = 2(a + 3) + 6 Reorder the terms: -8 + 4a = 2(3 + a) + 6 -8 + 4a = (3 * 2 + a * 2) + 6 -8 + 4a = (6 + 2a) + 6 Reorder the terms: -8 + 4a = 6 + 6 + 2a Combine like terms: 6 + 6 = 12 -8 + 4a = 12 + 2a Solving -8 + 4a = 12 + 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. -8 + 4a + -2a = 12 + 2a + -2a Combine like terms: 4a + -2a = 2a -8 + 2a = 12 + 2a + -2a Combine like terms: 2a + -2a = 0 -8 + 2a = 12 + 0 -8 + 2a = 12 Add '8' to each side of the equation. -8 + 8 + 2a = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 2a = 12 + 8 2a = 12 + 8 Combine like terms: 12 + 8 = 20 2a = 20 Divide each side by '2'. a = 10 Simplifying a = 10
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