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Simplifying 91 = 7(1 + -6a) 91 = (1 * 7 + -6a * 7) 91 = (7 + -42a) Solving 91 = 7 + -42a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '42a' to each side of the equation. 91 + 42a = 7 + -42a + 42a Combine like terms: -42a + 42a = 0 91 + 42a = 7 + 0 91 + 42a = 7 Add '-91' to each side of the equation. 91 + -91 + 42a = 7 + -91 Combine like terms: 91 + -91 = 0 0 + 42a = 7 + -91 42a = 7 + -91 Combine like terms: 7 + -91 = -84 42a = -84 Divide each side by '42'. a = -2 Simplifying a = -2
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