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Simplifying 16(a + 2) + 3 = 3(10 + -3a) Reorder the terms: 16(2 + a) + 3 = 3(10 + -3a) (2 * 16 + a * 16) + 3 = 3(10 + -3a) (32 + 16a) + 3 = 3(10 + -3a) Reorder the terms: 32 + 3 + 16a = 3(10 + -3a) Combine like terms: 32 + 3 = 35 35 + 16a = 3(10 + -3a) 35 + 16a = (10 * 3 + -3a * 3) 35 + 16a = (30 + -9a) Solving 35 + 16a = 30 + -9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. 35 + 16a + 9a = 30 + -9a + 9a Combine like terms: 16a + 9a = 25a 35 + 25a = 30 + -9a + 9a Combine like terms: -9a + 9a = 0 35 + 25a = 30 + 0 35 + 25a = 30 Add '-35' to each side of the equation. 35 + -35 + 25a = 30 + -35 Combine like terms: 35 + -35 = 0 0 + 25a = 30 + -35 25a = 30 + -35 Combine like terms: 30 + -35 = -5 25a = -5 Divide each side by '25'. a = -0.2 Simplifying a = -0.2
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