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Simplifying -23 + 7a = 6 + -1(-4a + 5) Reorder the terms: -23 + 7a = 6 + -1(5 + -4a) -23 + 7a = 6 + (5 * -1 + -4a * -1) -23 + 7a = 6 + (-5 + 4a) Combine like terms: 6 + -5 = 1 -23 + 7a = 1 + 4a Solving -23 + 7a = 1 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -23 + 7a + -4a = 1 + 4a + -4a Combine like terms: 7a + -4a = 3a -23 + 3a = 1 + 4a + -4a Combine like terms: 4a + -4a = 0 -23 + 3a = 1 + 0 -23 + 3a = 1 Add '23' to each side of the equation. -23 + 23 + 3a = 1 + 23 Combine like terms: -23 + 23 = 0 0 + 3a = 1 + 23 3a = 1 + 23 Combine like terms: 1 + 23 = 24 3a = 24 Divide each side by '3'. a = 8 Simplifying a = 8
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