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Simplifying 5(a + 3) + -6 = 2a Reorder the terms: 5(3 + a) + -6 = 2a (3 * 5 + a * 5) + -6 = 2a (15 + 5a) + -6 = 2a Reorder the terms: 15 + -6 + 5a = 2a Combine like terms: 15 + -6 = 9 9 + 5a = 2a Solving 9 + 5a = 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 9 + 5a + -2a = 2a + -2a Combine like terms: 5a + -2a = 3a 9 + 3a = 2a + -2a Combine like terms: 2a + -2a = 0 9 + 3a = 0 Add '-9' to each side of the equation. 9 + -9 + 3a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 3a = 0 + -9 3a = 0 + -9 Combine like terms: 0 + -9 = -9 3a = -9 Divide each side by '3'. a = -3 Simplifying a = -3
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