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Simplifying 3(a + -2) + 6 = 5(a + 4) Reorder the terms: 3(-2 + a) + 6 = 5(a + 4) (-2 * 3 + a * 3) + 6 = 5(a + 4) (-6 + 3a) + 6 = 5(a + 4) Reorder the terms: -6 + 6 + 3a = 5(a + 4) Combine like terms: -6 + 6 = 0 0 + 3a = 5(a + 4) 3a = 5(a + 4) Reorder the terms: 3a = 5(4 + a) 3a = (4 * 5 + a * 5) 3a = (20 + 5a) Solving 3a = 20 + 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. 3a + -5a = 20 + 5a + -5a Combine like terms: 3a + -5a = -2a -2a = 20 + 5a + -5a Combine like terms: 5a + -5a = 0 -2a = 20 + 0 -2a = 20 Divide each side by '-2'. a = -10 Simplifying a = -10
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