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Simplifying 4(a + 4) = 3a + 40 Reorder the terms: 4(4 + a) = 3a + 40 (4 * 4 + a * 4) = 3a + 40 (16 + 4a) = 3a + 40 Reorder the terms: 16 + 4a = 40 + 3a Solving 16 + 4a = 40 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 16 + 4a + -3a = 40 + 3a + -3a Combine like terms: 4a + -3a = 1a 16 + 1a = 40 + 3a + -3a Combine like terms: 3a + -3a = 0 16 + 1a = 40 + 0 16 + 1a = 40 Add '-16' to each side of the equation. 16 + -16 + 1a = 40 + -16 Combine like terms: 16 + -16 = 0 0 + 1a = 40 + -16 1a = 40 + -16 Combine like terms: 40 + -16 = 24 1a = 24 Divide each side by '1'. a = 24 Simplifying a = 24
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