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Simplifying -2 + 7(a + 6) = -5 + -4a Reorder the terms: -2 + 7(6 + a) = -5 + -4a -2 + (6 * 7 + a * 7) = -5 + -4a -2 + (42 + 7a) = -5 + -4a Combine like terms: -2 + 42 = 40 40 + 7a = -5 + -4a Solving 40 + 7a = -5 + -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. 40 + 7a + 4a = -5 + -4a + 4a Combine like terms: 7a + 4a = 11a 40 + 11a = -5 + -4a + 4a Combine like terms: -4a + 4a = 0 40 + 11a = -5 + 0 40 + 11a = -5 Add '-40' to each side of the equation. 40 + -40 + 11a = -5 + -40 Combine like terms: 40 + -40 = 0 0 + 11a = -5 + -40 11a = -5 + -40 Combine like terms: -5 + -40 = -45 11a = -45 Divide each side by '11'. a = -4.090909091 Simplifying a = -4.090909091
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