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Simplifying -2(a + 8) = -23 + -1a Reorder the terms: -2(8 + a) = -23 + -1a (8 * -2 + a * -2) = -23 + -1a (-16 + -2a) = -23 + -1a Solving -16 + -2a = -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. -16 + -2a + a = -23 + -1a + a Combine like terms: -2a + a = -1a -16 + -1a = -23 + -1a + a Combine like terms: -1a + a = 0 -16 + -1a = -23 + 0 -16 + -1a = -23 Add '16' to each side of the equation. -16 + 16 + -1a = -23 + 16 Combine like terms: -16 + 16 = 0 0 + -1a = -23 + 16 -1a = -23 + 16 Combine like terms: -23 + 16 = -7 -1a = -7 Divide each side by '-1'. a = 7 Simplifying a = 7
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