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Simplifying 6 + -2(4a + 8) = 4(2a + -1) Reorder the terms: 6 + -2(8 + 4a) = 4(2a + -1) 6 + (8 * -2 + 4a * -2) = 4(2a + -1) 6 + (-16 + -8a) = 4(2a + -1) Combine like terms: 6 + -16 = -10 -10 + -8a = 4(2a + -1) Reorder the terms: -10 + -8a = 4(-1 + 2a) -10 + -8a = (-1 * 4 + 2a * 4) -10 + -8a = (-4 + 8a) Solving -10 + -8a = -4 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -10 + -8a + -8a = -4 + 8a + -8a Combine like terms: -8a + -8a = -16a -10 + -16a = -4 + 8a + -8a Combine like terms: 8a + -8a = 0 -10 + -16a = -4 + 0 -10 + -16a = -4 Add '10' to each side of the equation. -10 + 10 + -16a = -4 + 10 Combine like terms: -10 + 10 = 0 0 + -16a = -4 + 10 -16a = -4 + 10 Combine like terms: -4 + 10 = 6 -16a = 6 Divide each side by '-16'. a = -0.375 Simplifying a = -0.375
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