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Simplifying 6a + 7 = 4a + 7(1 + 5a) Reorder the terms: 7 + 6a = 4a + 7(1 + 5a) 7 + 6a = 4a + (1 * 7 + 5a * 7) 7 + 6a = 4a + (7 + 35a) Reorder the terms: 7 + 6a = 7 + 4a + 35a Combine like terms: 4a + 35a = 39a 7 + 6a = 7 + 39a Add '-7' to each side of the equation. 7 + -7 + 6a = 7 + -7 + 39a Combine like terms: 7 + -7 = 0 0 + 6a = 7 + -7 + 39a 6a = 7 + -7 + 39a Combine like terms: 7 + -7 = 0 6a = 0 + 39a 6a = 39a Solving 6a = 39a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-39a' to each side of the equation. 6a + -39a = 39a + -39a Combine like terms: 6a + -39a = -33a -33a = 39a + -39a Combine like terms: 39a + -39a = 0 -33a = 0 Divide each side by '-33'. a = 0 Simplifying a = 0
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