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Simplifying 7(2a + -4) = 2(a + 4) Reorder the terms: 7(-4 + 2a) = 2(a + 4) (-4 * 7 + 2a * 7) = 2(a + 4) (-28 + 14a) = 2(a + 4) Reorder the terms: -28 + 14a = 2(4 + a) -28 + 14a = (4 * 2 + a * 2) -28 + 14a = (8 + 2a) Solving -28 + 14a = 8 + 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. -28 + 14a + -2a = 8 + 2a + -2a Combine like terms: 14a + -2a = 12a -28 + 12a = 8 + 2a + -2a Combine like terms: 2a + -2a = 0 -28 + 12a = 8 + 0 -28 + 12a = 8 Add '28' to each side of the equation. -28 + 28 + 12a = 8 + 28 Combine like terms: -28 + 28 = 0 0 + 12a = 8 + 28 12a = 8 + 28 Combine like terms: 8 + 28 = 36 12a = 36 Divide each side by '12'. a = 3 Simplifying a = 3
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