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Simplifying 4(a + 4) = 6a Reorder the terms: 4(4 + a) = 6a (4 * 4 + a * 4) = 6a (16 + 4a) = 6a Solving 16 + 4a = 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. 16 + 4a + -6a = 6a + -6a Combine like terms: 4a + -6a = -2a 16 + -2a = 6a + -6a Combine like terms: 6a + -6a = 0 16 + -2a = 0 Add '-16' to each side of the equation. 16 + -16 + -2a = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -2a = 0 + -16 -2a = 0 + -16 Combine like terms: 0 + -16 = -16 -2a = -16 Divide each side by '-2'. a = 8 Simplifying a = 8
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