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Simplifying 3a + 5(2a + 6) + -7a = 0 Reorder the terms: 3a + 5(6 + 2a) + -7a = 0 3a + (6 * 5 + 2a * 5) + -7a = 0 3a + (30 + 10a) + -7a = 0 Reorder the terms: 30 + 3a + 10a + -7a = 0 Combine like terms: 3a + 10a = 13a 30 + 13a + -7a = 0 Combine like terms: 13a + -7a = 6a 30 + 6a = 0 Solving 30 + 6a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 6a = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 6a = 0 + -30 6a = 0 + -30 Combine like terms: 0 + -30 = -30 6a = -30 Divide each side by '6'. a = -5 Simplifying a = -5
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