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Simplifying 5(2a + -3) = 4a + 9 Reorder the terms: 5(-3 + 2a) = 4a + 9 (-3 * 5 + 2a * 5) = 4a + 9 (-15 + 10a) = 4a + 9 Reorder the terms: -15 + 10a = 9 + 4a Solving -15 + 10a = 9 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -15 + 10a + -4a = 9 + 4a + -4a Combine like terms: 10a + -4a = 6a -15 + 6a = 9 + 4a + -4a Combine like terms: 4a + -4a = 0 -15 + 6a = 9 + 0 -15 + 6a = 9 Add '15' to each side of the equation. -15 + 15 + 6a = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 6a = 9 + 15 6a = 9 + 15 Combine like terms: 9 + 15 = 24 6a = 24 Divide each side by '6'. a = 4 Simplifying a = 4
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