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Simplifying 6a + 40 = -7(6 + 5a) Reorder the terms: 40 + 6a = -7(6 + 5a) 40 + 6a = (6 * -7 + 5a * -7) 40 + 6a = (-42 + -35a) Solving 40 + 6a = -42 + -35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '35a' to each side of the equation. 40 + 6a + 35a = -42 + -35a + 35a Combine like terms: 6a + 35a = 41a 40 + 41a = -42 + -35a + 35a Combine like terms: -35a + 35a = 0 40 + 41a = -42 + 0 40 + 41a = -42 Add '-40' to each side of the equation. 40 + -40 + 41a = -42 + -40 Combine like terms: 40 + -40 = 0 0 + 41a = -42 + -40 41a = -42 + -40 Combine like terms: -42 + -40 = -82 41a = -82 Divide each side by '41'. a = -2 Simplifying a = -2
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