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Simplifying 4(6a + -2) = 4(5a + 2) Reorder the terms: 4(-2 + 6a) = 4(5a + 2) (-2 * 4 + 6a * 4) = 4(5a + 2) (-8 + 24a) = 4(5a + 2) Reorder the terms: -8 + 24a = 4(2 + 5a) -8 + 24a = (2 * 4 + 5a * 4) -8 + 24a = (8 + 20a) Solving -8 + 24a = 8 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. -8 + 24a + -20a = 8 + 20a + -20a Combine like terms: 24a + -20a = 4a -8 + 4a = 8 + 20a + -20a Combine like terms: 20a + -20a = 0 -8 + 4a = 8 + 0 -8 + 4a = 8 Add '8' to each side of the equation. -8 + 8 + 4a = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 4a = 8 + 8 4a = 8 + 8 Combine like terms: 8 + 8 = 16 4a = 16 Divide each side by '4'. a = 4 Simplifying a = 4
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