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Simplifying 18a + -9 = 5(2a + 3) Reorder the terms: -9 + 18a = 5(2a + 3) Reorder the terms: -9 + 18a = 5(3 + 2a) -9 + 18a = (3 * 5 + 2a * 5) -9 + 18a = (15 + 10a) Solving -9 + 18a = 15 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -9 + 18a + -10a = 15 + 10a + -10a Combine like terms: 18a + -10a = 8a -9 + 8a = 15 + 10a + -10a Combine like terms: 10a + -10a = 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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