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Simplifying 7 + -1(1 + 2a) = 35 + -8a 7 + (1 * -1 + 2a * -1) = 35 + -8a 7 + (-1 + -2a) = 35 + -8a Combine like terms: 7 + -1 = 6 6 + -2a = 35 + -8a Solving 6 + -2a = 35 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 6 + -2a + 8a = 35 + -8a + 8a Combine like terms: -2a + 8a = 6a 6 + 6a = 35 + -8a + 8a Combine like terms: -8a + 8a = 0 6 + 6a = 35 + 0 6 + 6a = 35 Add '-6' to each side of the equation. 6 + -6 + 6a = 35 + -6 Combine like terms: 6 + -6 = 0 0 + 6a = 35 + -6 6a = 35 + -6 Combine like terms: 35 + -6 = 29 6a = 29 Divide each side by '6'. a = 4.833333333 Simplifying a = 4.833333333
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