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Simplifying 3(a + 4) + -8 = 4a + -5 Reorder the terms: 3(4 + a) + -8 = 4a + -5 (4 * 3 + a * 3) + -8 = 4a + -5 (12 + 3a) + -8 = 4a + -5 Reorder the terms: 12 + -8 + 3a = 4a + -5 Combine like terms: 12 + -8 = 4 4 + 3a = 4a + -5 Reorder the terms: 4 + 3a = -5 + 4a Solving 4 + 3a = -5 + 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. 4 + 3a + -4a = -5 + 4a + -4a Combine like terms: 3a + -4a = -1a 4 + -1a = -5 + 4a + -4a Combine like terms: 4a + -4a = 0 4 + -1a = -5 + 0 4 + -1a = -5 Add '-4' to each side of the equation. 4 + -4 + -1a = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -1a = -5 + -4 -1a = -5 + -4 Combine like terms: -5 + -4 = -9 -1a = -9 Divide each side by '-1'. a = 9 Simplifying a = 9
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