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Simplifying -21 + -8a = -1 + 6(4 + 5a) -21 + -8a = -1 + (4 * 6 + 5a * 6) -21 + -8a = -1 + (24 + 30a) Combine like terms: -1 + 24 = 23 -21 + -8a = 23 + 30a Solving -21 + -8a = 23 + 30a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30a' to each side of the equation. -21 + -8a + -30a = 23 + 30a + -30a Combine like terms: -8a + -30a = -38a -21 + -38a = 23 + 30a + -30a Combine like terms: 30a + -30a = 0 -21 + -38a = 23 + 0 -21 + -38a = 23 Add '21' to each side of the equation. -21 + 21 + -38a = 23 + 21 Combine like terms: -21 + 21 = 0 0 + -38a = 23 + 21 -38a = 23 + 21 Combine like terms: 23 + 21 = 44 -38a = 44 Divide each side by '-38'. a = -1.157894737 Simplifying a = -1.157894737
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