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Simplifying -6(7a + 6) = 40 + -4a Reorder the terms: -6(6 + 7a) = 40 + -4a (6 * -6 + 7a * -6) = 40 + -4a (-36 + -42a) = 40 + -4a Solving -36 + -42a = 40 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -36 + -42a + 4a = 40 + -4a + 4a Combine like terms: -42a + 4a = -38a -36 + -38a = 40 + -4a + 4a Combine like terms: -4a + 4a = 0 -36 + -38a = 40 + 0 -36 + -38a = 40 Add '36' to each side of the equation. -36 + 36 + -38a = 40 + 36 Combine like terms: -36 + 36 = 0 0 + -38a = 40 + 36 -38a = 40 + 36 Combine like terms: 40 + 36 = 76 -38a = 76 Divide each side by '-38'. a = -2 Simplifying a = -2
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