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Simplifying 4a + -2(d + 9) = 6 Reorder the terms: 4a + -2(9 + d) = 6 4a + (9 * -2 + d * -2) = 6 4a + (-18 + -2d) = 6 Reorder the terms: -18 + 4a + -2d = 6 Solving -18 + 4a + -2d = 6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 4a + 18 + -2d = 6 + 18 Reorder the terms: -18 + 18 + 4a + -2d = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 4a + -2d = 6 + 18 4a + -2d = 6 + 18 Combine like terms: 6 + 18 = 24 4a + -2d = 24 Add '2d' to each side of the equation. 4a + -2d + 2d = 24 + 2d Combine like terms: -2d + 2d = 0 4a + 0 = 24 + 2d 4a = 24 + 2d Divide each side by '4'. a = 6 + 0.5d Simplifying a = 6 + 0.5d
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