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Simplifying 0 = 16(a + -2) + 3(10 + -1a) Reorder the terms: 0 = 16(-2 + a) + 3(10 + -1a) 0 = (-2 * 16 + a * 16) + 3(10 + -1a) 0 = (-32 + 16a) + 3(10 + -1a) 0 = -32 + 16a + (10 * 3 + -1a * 3) 0 = -32 + 16a + (30 + -3a) Reorder the terms: 0 = -32 + 30 + 16a + -3a Combine like terms: -32 + 30 = -2 0 = -2 + 16a + -3a Combine like terms: 16a + -3a = 13a 0 = -2 + 13a Solving 0 = -2 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. 0 + -13a = -2 + 13a + -13a Remove the zero: -13a = -2 + 13a + -13a Combine like terms: 13a + -13a = 0 -13a = -2 + 0 -13a = -2 Divide each side by '-13'. a = 0.1538461538 Simplifying a = 0.1538461538
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