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Simplifying 5a + 4 = 7 + 4(a + 1) Reorder the terms: 4 + 5a = 7 + 4(a + 1) Reorder the terms: 4 + 5a = 7 + 4(1 + a) 4 + 5a = 7 + (1 * 4 + a * 4) 4 + 5a = 7 + (4 + 4a) Combine like terms: 7 + 4 = 11 4 + 5a = 11 + 4a Solving 4 + 5a = 11 + 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. 4 + 5a + -4a = 11 + 4a + -4a Combine like terms: 5a + -4a = 1a 4 + 1a = 11 + 4a + -4a Combine like terms: 4a + -4a = 0 4 + 1a = 11 + 0 4 + 1a = 11 Add '-4' to each side of the equation. 4 + -4 + 1a = 11 + -4 Combine like terms: 4 + -4 = 0 0 + 1a = 11 + -4 1a = 11 + -4 Combine like terms: 11 + -4 = 7 1a = 7 Divide each side by '1'. a = 7 Simplifying a = 7
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