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Simplifying 7 + 4a = 19 + a(7) + -9a Reorder the terms for easier multiplication: 7 + 4a = 19 + 7a + -9a Combine like terms: 7a + -9a = -2a 7 + 4a = 19 + -2a Solving 7 + 4a = 19 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 7 + 4a + 2a = 19 + -2a + 2a Combine like terms: 4a + 2a = 6a 7 + 6a = 19 + -2a + 2a Combine like terms: -2a + 2a = 0 7 + 6a = 19 + 0 7 + 6a = 19 Add '-7' to each side of the equation. 7 + -7 + 6a = 19 + -7 Combine like terms: 7 + -7 = 0 0 + 6a = 19 + -7 6a = 19 + -7 Combine like terms: 19 + -7 = 12 6a = 12 Divide each side by '6'. a = 2 Simplifying a = 2
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