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Simplifying 1 + -6(a + 1) = 9 + a Reorder the terms: 1 + -6(1 + a) = 9 + a 1 + (1 * -6 + a * -6) = 9 + a 1 + (-6 + -6a) = 9 + a Combine like terms: 1 + -6 = -5 -5 + -6a = 9 + a Solving -5 + -6a = 9 + 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. -5 + -6a + -1a = 9 + a + -1a Combine like terms: -6a + -1a = -7a -5 + -7a = 9 + a + -1a Combine like terms: a + -1a = 0 -5 + -7a = 9 + 0 -5 + -7a = 9 Add '5' to each side of the equation. -5 + 5 + -7a = 9 + 5 Combine like terms: -5 + 5 = 0 0 + -7a = 9 + 5 -7a = 9 + 5 Combine like terms: 9 + 5 = 14 -7a = 14 Divide each side by '-7'. a = -2 Simplifying a = -2
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