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Simplifying -1(8a + 3) + -1a = 29 + -5a Reorder the terms: -1(3 + 8a) + -1a = 29 + -5a (3 * -1 + 8a * -1) + -1a = 29 + -5a (-3 + -8a) + -1a = 29 + -5a Combine like terms: -8a + -1a = -9a -3 + -9a = 29 + -5a Solving -3 + -9a = 29 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -3 + -9a + 5a = 29 + -5a + 5a Combine like terms: -9a + 5a = -4a -3 + -4a = 29 + -5a + 5a Combine like terms: -5a + 5a = 0 -3 + -4a = 29 + 0 -3 + -4a = 29 Add '3' to each side of the equation. -3 + 3 + -4a = 29 + 3 Combine like terms: -3 + 3 = 0 0 + -4a = 29 + 3 -4a = 29 + 3 Combine like terms: 29 + 3 = 32 -4a = 32 Divide each side by '-4'. a = -8 Simplifying a = -8
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