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Simplifying -2a + -9 = 3(2a + 5) Reorder the terms: -9 + -2a = 3(2a + 5) Reorder the terms: -9 + -2a = 3(5 + 2a) -9 + -2a = (5 * 3 + 2a * 3) -9 + -2a = (15 + 6a) Solving -9 + -2a = 15 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -9 + -2a + -6a = 15 + 6a + -6a Combine like terms: -2a + -6a = -8a -9 + -8a = 15 + 6a + -6a Combine like terms: 6a + -6a = 0 -9 + -8a = 15 + 0 -9 + -8a = 15 Add '9' to each side of the equation. -9 + 9 + -8a = 15 + 9 Combine like terms: -9 + 9 = 0 0 + -8a = 15 + 9 -8a = 15 + 9 Combine like terms: 15 + 9 = 24 -8a = 24 Divide each side by '-8'. a = -3 Simplifying a = -3
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