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Simplifying 4(a + 3) + -5 = 3a + 8 Reorder the terms: 4(3 + a) + -5 = 3a + 8 (3 * 4 + a * 4) + -5 = 3a + 8 (12 + 4a) + -5 = 3a + 8 Reorder the terms: 12 + -5 + 4a = 3a + 8 Combine like terms: 12 + -5 = 7 7 + 4a = 3a + 8 Reorder the terms: 7 + 4a = 8 + 3a Solving 7 + 4a = 8 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 7 + 4a + -3a = 8 + 3a + -3a Combine like terms: 4a + -3a = 1a 7 + 1a = 8 + 3a + -3a Combine like terms: 3a + -3a = 0 7 + 1a = 8 + 0 7 + 1a = 8 Add '-7' to each side of the equation. 7 + -7 + 1a = 8 + -7 Combine like terms: 7 + -7 = 0 0 + 1a = 8 + -7 1a = 8 + -7 Combine like terms: 8 + -7 = 1 1a = 1 Divide each side by '1'. a = 1 Simplifying a = 1
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