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Simplifying -3(7a + -8) + -1a = -4(5a + -8) Reorder the terms: -3(-8 + 7a) + -1a = -4(5a + -8) (-8 * -3 + 7a * -3) + -1a = -4(5a + -8) (24 + -21a) + -1a = -4(5a + -8) Combine like terms: -21a + -1a = -22a 24 + -22a = -4(5a + -8) Reorder the terms: 24 + -22a = -4(-8 + 5a) 24 + -22a = (-8 * -4 + 5a * -4) 24 + -22a = (32 + -20a) Solving 24 + -22a = 32 + -20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20a' to each side of the equation. 24 + -22a + 20a = 32 + -20a + 20a Combine like terms: -22a + 20a = -2a 24 + -2a = 32 + -20a + 20a Combine like terms: -20a + 20a = 0 24 + -2a = 32 + 0 24 + -2a = 32 Add '-24' to each side of the equation. 24 + -24 + -2a = 32 + -24 Combine like terms: 24 + -24 = 0 0 + -2a = 32 + -24 -2a = 32 + -24 Combine like terms: 32 + -24 = 8 -2a = 8 Divide each side by '-2'. a = -4 Simplifying a = -4
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