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Simplifying -2 + -6(1 + a) = -23 + -1a -2 + (1 * -6 + a * -6) = -23 + -1a -2 + (-6 + -6a) = -23 + -1a Combine like terms: -2 + -6 = -8 -8 + -6a = -23 + -1a Solving -8 + -6a = -23 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -8 + -6a + a = -23 + -1a + a Combine like terms: -6a + a = -5a -8 + -5a = -23 + -1a + a Combine like terms: -1a + a = 0 -8 + -5a = -23 + 0 -8 + -5a = -23 Add '8' to each side of the equation. -8 + 8 + -5a = -23 + 8 Combine like terms: -8 + 8 = 0 0 + -5a = -23 + 8 -5a = -23 + 8 Combine like terms: -23 + 8 = -15 -5a = -15 Divide each side by '-5'. a = 3 Simplifying a = 3
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