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Simplifying 3(a + 4) = -5a Reorder the terms: 3(4 + a) = -5a (4 * 3 + a * 3) = -5a (12 + 3a) = -5a Solving 12 + 3a = -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 12 + 3a + 5a = -5a + 5a Combine like terms: 3a + 5a = 8a 12 + 8a = -5a + 5a Combine like terms: -5a + 5a = 0 12 + 8a = 0 Add '-12' to each side of the equation. 12 + -12 + 8a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 8a = 0 + -12 8a = 0 + -12 Combine like terms: 0 + -12 = -12 8a = -12 Divide each side by '8'. a = -1.5 Simplifying a = -1.5
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