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Simplifying 3(a + 2) + -8 = 5 + -2(a + 4) Reorder the terms: 3(2 + a) + -8 = 5 + -2(a + 4) (2 * 3 + a * 3) + -8 = 5 + -2(a + 4) (6 + 3a) + -8 = 5 + -2(a + 4) Reorder the terms: 6 + -8 + 3a = 5 + -2(a + 4) Combine like terms: 6 + -8 = -2 -2 + 3a = 5 + -2(a + 4) Reorder the terms: -2 + 3a = 5 + -2(4 + a) -2 + 3a = 5 + (4 * -2 + a * -2) -2 + 3a = 5 + (-8 + -2a) Combine like terms: 5 + -8 = -3 -2 + 3a = -3 + -2a Solving -2 + 3a = -3 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -2 + 3a + 2a = -3 + -2a + 2a Combine like terms: 3a + 2a = 5a -2 + 5a = -3 + -2a + 2a Combine like terms: -2a + 2a = 0 -2 + 5a = -3 + 0 -2 + 5a = -3 Add '2' to each side of the equation. -2 + 2 + 5a = -3 + 2 Combine like terms: -2 + 2 = 0 0 + 5a = -3 + 2 5a = -3 + 2 Combine like terms: -3 + 2 = -1 5a = -1 Divide each side by '5'. a = -0.2 Simplifying a = -0.2
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