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Simplifying -1(5a + 6) = 2(3d + 8) Reorder the terms: -1(6 + 5a) = 2(3d + 8) (6 * -1 + 5a * -1) = 2(3d + 8) (-6 + -5a) = 2(3d + 8) Reorder the terms: -6 + -5a = 2(8 + 3d) -6 + -5a = (8 * 2 + 3d * 2) -6 + -5a = (16 + 6d) Solving -6 + -5a = 16 + 6d 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 + 6 + -5a = 16 + 6 + 6d Combine like terms: -6 + 6 = 0 0 + -5a = 16 + 6 + 6d -5a = 16 + 6 + 6d Combine like terms: 16 + 6 = 22 -5a = 22 + 6d Divide each side by '-5'. a = -4.4 + -1.2d Simplifying a = -4.4 + -1.2d
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