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Simplifying 5(3d + 2a + -5) = 0 Reorder the terms: 5(-5 + 2a + 3d) = 0 (-5 * 5 + 2a * 5 + 3d * 5) = 0 (-25 + 10a + 15d) = 0 Solving -25 + 10a + 15d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 10a + 25 + 15d = 0 + 25 Reorder the terms: -25 + 25 + 10a + 15d = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 10a + 15d = 0 + 25 10a + 15d = 0 + 25 Combine like terms: 0 + 25 = 25 10a + 15d = 25 Add '-15d' to each side of the equation. 10a + 15d + -15d = 25 + -15d Combine like terms: 15d + -15d = 0 10a + 0 = 25 + -15d 10a = 25 + -15d Divide each side by '10'. a = 2.5 + -1.5d Simplifying a = 2.5 + -1.5d
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