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Simplifying 5d + -1(2a + 8) = 0 Reorder the terms: 5d + -1(8 + 2a) = 0 5d + (8 * -1 + 2a * -1) = 0 5d + (-8 + -2a) = 0 Reorder the terms: -8 + -2a + 5d = 0 Solving -8 + -2a + 5d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -2a + 8 + 5d = 0 + 8 Reorder the terms: -8 + 8 + -2a + 5d = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -2a + 5d = 0 + 8 -2a + 5d = 0 + 8 Combine like terms: 0 + 8 = 8 -2a + 5d = 8 Add '-5d' to each side of the equation. -2a + 5d + -5d = 8 + -5d Combine like terms: 5d + -5d = 0 -2a + 0 = 8 + -5d -2a = 8 + -5d Divide each side by '-2'. a = -4 + 2.5d Simplifying a = -4 + 2.5d
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