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Simplifying 30 + -7a = 6a + 3(5 + -6a) 30 + -7a = 6a + (5 * 3 + -6a * 3) 30 + -7a = 6a + (15 + -18a) Reorder the terms: 30 + -7a = 15 + 6a + -18a Combine like terms: 6a + -18a = -12a 30 + -7a = 15 + -12a Solving 30 + -7a = 15 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. 30 + -7a + 12a = 15 + -12a + 12a Combine like terms: -7a + 12a = 5a 30 + 5a = 15 + -12a + 12a Combine like terms: -12a + 12a = 0 30 + 5a = 15 + 0 30 + 5a = 15 Add '-30' to each side of the equation. 30 + -30 + 5a = 15 + -30 Combine like terms: 30 + -30 = 0 0 + 5a = 15 + -30 5a = 15 + -30 Combine like terms: 15 + -30 = -15 5a = -15 Divide each side by '5'. a = -3 Simplifying a = -3
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