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Simplifying 14 = 3d + -15 + 2a + -6 Reorder the terms: 14 = -15 + -6 + 2a + 3d Combine like terms: -15 + -6 = -21 14 = -21 + 2a + 3d Solving 14 = -21 + 2a + 3d Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 14 + -2a = -21 + 2a + -2a + 3d Combine like terms: 2a + -2a = 0 14 + -2a = -21 + 0 + 3d 14 + -2a = -21 + 3d Add '-14' to each side of the equation. 14 + -14 + -2a = -21 + -14 + 3d Combine like terms: 14 + -14 = 0 0 + -2a = -21 + -14 + 3d -2a = -21 + -14 + 3d Combine like terms: -21 + -14 = -35 -2a = -35 + 3d Divide each side by '-2'. a = 17.5 + -1.5d Simplifying a = 17.5 + -1.5d
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