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Simplifying 4(1a + 4) = 5(4a + 3) Reorder the terms: 4(4 + 1a) = 5(4a + 3) (4 * 4 + 1a * 4) = 5(4a + 3) (16 + 4a) = 5(4a + 3) Reorder the terms: 16 + 4a = 5(3 + 4a) 16 + 4a = (3 * 5 + 4a * 5) 16 + 4a = (15 + 20a) Solving 16 + 4a = 15 + 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. 16 + 4a + -20a = 15 + 20a + -20a Combine like terms: 4a + -20a = -16a 16 + -16a = 15 + 20a + -20a Combine like terms: 20a + -20a = 0 16 + -16a = 15 + 0 16 + -16a = 15 Add '-16' to each side of the equation. 16 + -16 + -16a = 15 + -16 Combine like terms: 16 + -16 = 0 0 + -16a = 15 + -16 -16a = 15 + -16 Combine like terms: 15 + -16 = -1 -16a = -1 Divide each side by '-16'. a = 0.0625 Simplifying a = 0.0625
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