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