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Simplifying 6(5a + -7) = 27 + 7a Reorder the terms: 6(-7 + 5a) = 27 + 7a (-7 * 6 + 5a * 6) = 27 + 7a (-42 + 30a) = 27 + 7a Solving -42 + 30a = 27 + 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. -42 + 30a + -7a = 27 + 7a + -7a Combine like terms: 30a + -7a = 23a -42 + 23a = 27 + 7a + -7a Combine like terms: 7a + -7a = 0 -42 + 23a = 27 + 0 -42 + 23a = 27 Add '42' to each side of the equation. -42 + 42 + 23a = 27 + 42 Combine like terms: -42 + 42 = 0 0 + 23a = 27 + 42 23a = 27 + 42 Combine like terms: 27 + 42 = 69 23a = 69 Divide each side by '23'. a = 3 Simplifying a = 3
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