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Simplifying 8a + 4 + -2(a + 8) = -3(2a + 6) Reorder the terms: 8a + 4 + -2(8 + a) = -3(2a + 6) 8a + 4 + (8 * -2 + a * -2) = -3(2a + 6) 8a + 4 + (-16 + -2a) = -3(2a + 6) Reorder the terms: 4 + -16 + 8a + -2a = -3(2a + 6) Combine like terms: 4 + -16 = -12 -12 + 8a + -2a = -3(2a + 6) Combine like terms: 8a + -2a = 6a -12 + 6a = -3(2a + 6) Reorder the terms: -12 + 6a = -3(6 + 2a) -12 + 6a = (6 * -3 + 2a * -3) -12 + 6a = (-18 + -6a) Solving -12 + 6a = -18 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -12 + 6a + 6a = -18 + -6a + 6a Combine like terms: 6a + 6a = 12a -12 + 12a = -18 + -6a + 6a Combine like terms: -6a + 6a = 0 -12 + 12a = -18 + 0 -12 + 12a = -18 Add '12' to each side of the equation. -12 + 12 + 12a = -18 + 12 Combine like terms: -12 + 12 = 0 0 + 12a = -18 + 12 12a = -18 + 12 Combine like terms: -18 + 12 = -6 12a = -6 Divide each side by '12'. a = -0.5 Simplifying a = -0.5
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