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Simplifying 5(2a + -3) + 2a + 3 = 0 Reorder the terms: 5(-3 + 2a) + 2a + 3 = 0 (-3 * 5 + 2a * 5) + 2a + 3 = 0 (-15 + 10a) + 2a + 3 = 0 Reorder the terms: -15 + 3 + 10a + 2a = 0 Combine like terms: -15 + 3 = -12 -12 + 10a + 2a = 0 Combine like terms: 10a + 2a = 12a -12 + 12a = 0 Solving -12 + 12a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 12a = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 12a = 0 + 12 12a = 0 + 12 Combine like terms: 0 + 12 = 12 12a = 12 Divide each side by '12'. a = 1 Simplifying a = 1
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