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Simplifying 5a + d = -2a + -10 Reorder the terms: 5a + d = -10 + -2a Solving 5a + d = -10 + -2a 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. 5a + 2a + d = -10 + -2a + 2a Combine like terms: 5a + 2a = 7a 7a + d = -10 + -2a + 2a Combine like terms: -2a + 2a = 0 7a + d = -10 + 0 7a + d = -10 Add '-1d' to each side of the equation. 7a + d + -1d = -10 + -1d Combine like terms: d + -1d = 0 7a + 0 = -10 + -1d 7a = -10 + -1d Divide each side by '7'. a = -1.428571429 + -0.1428571429d Simplifying a = -1.428571429 + -0.1428571429d
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