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Simplifying 6(5a + 2) = 35 + 7a Reorder the terms: 6(2 + 5a) = 35 + 7a (2 * 6 + 5a * 6) = 35 + 7a (12 + 30a) = 35 + 7a Solving 12 + 30a = 35 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 12 + 30a + -7a = 35 + 7a + -7a Combine like terms: 30a + -7a = 23a 12 + 23a = 35 + 7a + -7a Combine like terms: 7a + -7a = 0 12 + 23a = 35 + 0 12 + 23a = 35 Add '-12' to each side of the equation. 12 + -12 + 23a = 35 + -12 Combine like terms: 12 + -12 = 0 0 + 23a = 35 + -12 23a = 35 + -12 Combine like terms: 35 + -12 = 23 23a = 23 Divide each side by '23'. a = 1 Simplifying a = 1
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