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Simplifying 1 + -5(a + 1) = 8 + a Reorder the terms: 1 + -5(1 + a) = 8 + a 1 + (1 * -5 + a * -5) = 8 + a 1 + (-5 + -5a) = 8 + a Combine like terms: 1 + -5 = -4 -4 + -5a = 8 + a Solving -4 + -5a = 8 + 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. -4 + -5a + -1a = 8 + a + -1a Combine like terms: -5a + -1a = -6a -4 + -6a = 8 + a + -1a Combine like terms: a + -1a = 0 -4 + -6a = 8 + 0 -4 + -6a = 8 Add '4' to each side of the equation. -4 + 4 + -6a = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -6a = 8 + 4 -6a = 8 + 4 Combine like terms: 8 + 4 = 12 -6a = 12 Divide each side by '-6'. a = -2 Simplifying a = -2
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