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Simplifying 0.75a + 4 = 25(3a + 16) Reorder the terms: 4 + 0.75a = 25(3a + 16) Reorder the terms: 4 + 0.75a = 25(16 + 3a) 4 + 0.75a = (16 * 25 + 3a * 25) 4 + 0.75a = (400 + 75a) Solving 4 + 0.75a = 400 + 75a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-75a' to each side of the equation. 4 + 0.75a + -75a = 400 + 75a + -75a Combine like terms: 0.75a + -75a = -74.25a 4 + -74.25a = 400 + 75a + -75a Combine like terms: 75a + -75a = 0 4 + -74.25a = 400 + 0 4 + -74.25a = 400 Add '-4' to each side of the equation. 4 + -4 + -74.25a = 400 + -4 Combine like terms: 4 + -4 = 0 0 + -74.25a = 400 + -4 -74.25a = 400 + -4 Combine like terms: 400 + -4 = 396 -74.25a = 396 Divide each side by '-74.25'. a = -5.333333333 Simplifying a = -5.333333333
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