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Simplifying -6(8a + 7) = 40 + -7a Reorder the terms: -6(7 + 8a) = 40 + -7a (7 * -6 + 8a * -6) = 40 + -7a (-42 + -48a) = 40 + -7a Solving -42 + -48a = 40 + -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 + -48a + 7a = 40 + -7a + 7a Combine like terms: -48a + 7a = -41a -42 + -41a = 40 + -7a + 7a Combine like terms: -7a + 7a = 0 -42 + -41a = 40 + 0 -42 + -41a = 40 Add '42' to each side of the equation. -42 + 42 + -41a = 40 + 42 Combine like terms: -42 + 42 = 0 0 + -41a = 40 + 42 -41a = 40 + 42 Combine like terms: 40 + 42 = 82 -41a = 82 Divide each side by '-41'. a = -2 Simplifying a = -2
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