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Simplifying 7a + -3d + 6 = 5 Reorder the terms: 6 + 7a + -3d = 5 Solving 6 + 7a + -3d = 5 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 7a + -6 + -3d = 5 + -6 Reorder the terms: 6 + -6 + 7a + -3d = 5 + -6 Combine like terms: 6 + -6 = 0 0 + 7a + -3d = 5 + -6 7a + -3d = 5 + -6 Combine like terms: 5 + -6 = -1 7a + -3d = -1 Add '3d' to each side of the equation. 7a + -3d + 3d = -1 + 3d Combine like terms: -3d + 3d = 0 7a + 0 = -1 + 3d 7a = -1 + 3d Divide each side by '7'. a = -0.1428571429 + 0.4285714286d Simplifying a = -0.1428571429 + 0.4285714286d
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