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Simplifying -23 + -1a = 8(a + -4) Reorder the terms: -23 + -1a = 8(-4 + a) -23 + -1a = (-4 * 8 + a * 8) -23 + -1a = (-32 + 8a) Solving -23 + -1a = -32 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -23 + -1a + -8a = -32 + 8a + -8a Combine like terms: -1a + -8a = -9a -23 + -9a = -32 + 8a + -8a Combine like terms: 8a + -8a = 0 -23 + -9a = -32 + 0 -23 + -9a = -32 Add '23' to each side of the equation. -23 + 23 + -9a = -32 + 23 Combine like terms: -23 + 23 = 0 0 + -9a = -32 + 23 -9a = -32 + 23 Combine like terms: -32 + 23 = -9 -9a = -9 Divide each side by '-9'. a = 1 Simplifying a = 1
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