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Simplifying 5a + -6 + -2d = 12 Reorder the terms: -6 + 5a + -2d = 12 Solving -6 + 5a + -2d = 12 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 + 5a + 6 + -2d = 12 + 6 Reorder the terms: -6 + 6 + 5a + -2d = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 5a + -2d = 12 + 6 5a + -2d = 12 + 6 Combine like terms: 12 + 6 = 18 5a + -2d = 18 Add '2d' to each side of the equation. 5a + -2d + 2d = 18 + 2d Combine like terms: -2d + 2d = 0 5a + 0 = 18 + 2d 5a = 18 + 2d Divide each side by '5'. a = 3.6 + 0.4d Simplifying a = 3.6 + 0.4d
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