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Simplifying 4a + 3(2a + -3) = 5a + 1 Reorder the terms: 4a + 3(-3 + 2a) = 5a + 1 4a + (-3 * 3 + 2a * 3) = 5a + 1 4a + (-9 + 6a) = 5a + 1 Reorder the terms: -9 + 4a + 6a = 5a + 1 Combine like terms: 4a + 6a = 10a -9 + 10a = 5a + 1 Reorder the terms: -9 + 10a = 1 + 5a Solving -9 + 10a = 1 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -9 + 10a + -5a = 1 + 5a + -5a Combine like terms: 10a + -5a = 5a -9 + 5a = 1 + 5a + -5a Combine like terms: 5a + -5a = 0 -9 + 5a = 1 + 0 -9 + 5a = 1 Add '9' to each side of the equation. -9 + 9 + 5a = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 5a = 1 + 9 5a = 1 + 9 Combine like terms: 1 + 9 = 10 5a = 10 Divide each side by '5'. a = 2 Simplifying a = 2
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