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Simplifying 1 + -5(a + 2) = 9 + a Reorder the terms: 1 + -5(2 + a) = 9 + a 1 + (2 * -5 + a * -5) = 9 + a 1 + (-10 + -5a) = 9 + a Combine like terms: 1 + -10 = -9 -9 + -5a = 9 + a Solving -9 + -5a = 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. -9 + -5a + -1a = 9 + a + -1a Combine like terms: -5a + -1a = -6a -9 + -6a = 9 + a + -1a Combine like terms: a + -1a = 0 -9 + -6a = 9 + 0 -9 + -6a = 9 Add '9' to each side of the equation. -9 + 9 + -6a = 9 + 9 Combine like terms: -9 + 9 = 0 0 + -6a = 9 + 9 -6a = 9 + 9 Combine like terms: 9 + 9 = 18 -6a = 18 Divide each side by '-6'. a = -3 Simplifying a = -3
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