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Simplifying 34 = 6(1 + 5a) + 4(a + 7) 34 = (1 * 6 + 5a * 6) + 4(a + 7) 34 = (6 + 30a) + 4(a + 7) Reorder the terms: 34 = 6 + 30a + 4(7 + a) 34 = 6 + 30a + (7 * 4 + a * 4) 34 = 6 + 30a + (28 + 4a) Reorder the terms: 34 = 6 + 28 + 30a + 4a Combine like terms: 6 + 28 = 34 34 = 34 + 30a + 4a Combine like terms: 30a + 4a = 34a 34 = 34 + 34a Add '-34' to each side of the equation. 34 + -34 = 34 + -34 + 34a Combine like terms: 34 + -34 = 0 0 = 34 + -34 + 34a Combine like terms: 34 + -34 = 0 0 = 0 + 34a 0 = 34a Solving 0 = 34a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-34a' to each side of the equation. 0 + -34a = 34a + -34a Remove the zero: -34a = 34a + -34a Combine like terms: 34a + -34a = 0 -34a = 0 Divide each side by '-34'. a = 0 Simplifying a = 0
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