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Simplifying 2(a + 1) + 3(2a + -5) = 0 Reorder the terms: 2(1 + a) + 3(2a + -5) = 0 (1 * 2 + a * 2) + 3(2a + -5) = 0 (2 + 2a) + 3(2a + -5) = 0 Reorder the terms: 2 + 2a + 3(-5 + 2a) = 0 2 + 2a + (-5 * 3 + 2a * 3) = 0 2 + 2a + (-15 + 6a) = 0 Reorder the terms: 2 + -15 + 2a + 6a = 0 Combine like terms: 2 + -15 = -13 -13 + 2a + 6a = 0 Combine like terms: 2a + 6a = 8a -13 + 8a = 0 Solving -13 + 8a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 8a = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 8a = 0 + 13 8a = 0 + 13 Combine like terms: 0 + 13 = 13 8a = 13 Divide each side by '8'. a = 1.625 Simplifying a = 1.625
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