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Simplifying 7 + -5(a + 1) = (a + 1) Reorder the terms: 7 + -5(1 + a) = (a + 1) 7 + (1 * -5 + a * -5) = (a + 1) 7 + (-5 + -5a) = (a + 1) Combine like terms: 7 + -5 = 2 2 + -5a = (a + 1) Reorder the terms: 2 + -5a = (1 + a) Remove parenthesis around (1 + a) 2 + -5a = 1 + a Solving 2 + -5a = 1 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 2 + -5a + -1a = 1 + a + -1a Combine like terms: -5a + -1a = -6a 2 + -6a = 1 + a + -1a Combine like terms: a + -1a = 0 2 + -6a = 1 + 0 2 + -6a = 1 Add '-2' to each side of the equation. 2 + -2 + -6a = 1 + -2 Combine like terms: 2 + -2 = 0 0 + -6a = 1 + -2 -6a = 1 + -2 Combine like terms: 1 + -2 = -1 -6a = -1 Divide each side by '-6'. a = 0.1666666667 Simplifying a = 0.1666666667
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