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Simplifying 4(2a + -4) = -8(10 + 2a) Reorder the terms: 4(-4 + 2a) = -8(10 + 2a) (-4 * 4 + 2a * 4) = -8(10 + 2a) (-16 + 8a) = -8(10 + 2a) -16 + 8a = (10 * -8 + 2a * -8) -16 + 8a = (-80 + -16a) Solving -16 + 8a = -80 + -16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16a' to each side of the equation. -16 + 8a + 16a = -80 + -16a + 16a Combine like terms: 8a + 16a = 24a -16 + 24a = -80 + -16a + 16a Combine like terms: -16a + 16a = 0 -16 + 24a = -80 + 0 -16 + 24a = -80 Add '16' to each side of the equation. -16 + 16 + 24a = -80 + 16 Combine like terms: -16 + 16 = 0 0 + 24a = -80 + 16 24a = -80 + 16 Combine like terms: -80 + 16 = -64 24a = -64 Divide each side by '24'. a = -2.666666667 Simplifying a = -2.666666667
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