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Simplifying 3 + 4a = 19 + a(3) + -9a Reorder the terms for easier multiplication: 3 + 4a = 19 + 3a + -9a Combine like terms: 3a + -9a = -6a 3 + 4a = 19 + -6a Solving 3 + 4a = 19 + -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. 3 + 4a + 6a = 19 + -6a + 6a Combine like terms: 4a + 6a = 10a 3 + 10a = 19 + -6a + 6a Combine like terms: -6a + 6a = 0 3 + 10a = 19 + 0 3 + 10a = 19 Add '-3' to each side of the equation. 3 + -3 + 10a = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 10a = 19 + -3 10a = 19 + -3 Combine like terms: 19 + -3 = 16 10a = 16 Divide each side by '10'. a = 1.6 Simplifying a = 1.6
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