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Simplifying 2(a + 16) + 3(a + -10) = 0 Reorder the terms: 2(16 + a) + 3(a + -10) = 0 (16 * 2 + a * 2) + 3(a + -10) = 0 (32 + 2a) + 3(a + -10) = 0 Reorder the terms: 32 + 2a + 3(-10 + a) = 0 32 + 2a + (-10 * 3 + a * 3) = 0 32 + 2a + (-30 + 3a) = 0 Reorder the terms: 32 + -30 + 2a + 3a = 0 Combine like terms: 32 + -30 = 2 2 + 2a + 3a = 0 Combine like terms: 2a + 3a = 5a 2 + 5a = 0 Solving 2 + 5a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5a = 0 + -2 5a = 0 + -2 Combine like terms: 0 + -2 = -2 5a = -2 Divide each side by '5'. a = -0.4 Simplifying a = -0.4
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