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Simplifying 3(2a + -8) = 4(7 + a) Reorder the terms: 3(-8 + 2a) = 4(7 + a) (-8 * 3 + 2a * 3) = 4(7 + a) (-24 + 6a) = 4(7 + a) -24 + 6a = (7 * 4 + a * 4) -24 + 6a = (28 + 4a) Solving -24 + 6a = 28 + 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. -24 + 6a + -4a = 28 + 4a + -4a Combine like terms: 6a + -4a = 2a -24 + 2a = 28 + 4a + -4a Combine like terms: 4a + -4a = 0 -24 + 2a = 28 + 0 -24 + 2a = 28 Add '24' to each side of the equation. -24 + 24 + 2a = 28 + 24 Combine like terms: -24 + 24 = 0 0 + 2a = 28 + 24 2a = 28 + 24 Combine like terms: 28 + 24 = 52 2a = 52 Divide each side by '2'. a = 26 Simplifying a = 26
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