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