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Simplifying -2(8 + 2a) + -8(4 + -5a) = 0 (8 * -2 + 2a * -2) + -8(4 + -5a) = 0 (-16 + -4a) + -8(4 + -5a) = 0 -16 + -4a + (4 * -8 + -5a * -8) = 0 -16 + -4a + (-32 + 40a) = 0 Reorder the terms: -16 + -32 + -4a + 40a = 0 Combine like terms: -16 + -32 = -48 -48 + -4a + 40a = 0 Combine like terms: -4a + 40a = 36a -48 + 36a = 0 Solving -48 + 36a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 36a = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 36a = 0 + 48 36a = 0 + 48 Combine like terms: 0 + 48 = 48 36a = 48 Divide each side by '36'. a = 1.333333333 Simplifying a = 1.333333333
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