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Simplifying (6a + -5d) + -1(3a + -2d) = 0 Remove parenthesis around (6a + -5d) 6a + -5d + -1(3a + -2d) = 0 6a + -5d + (3a * -1 + -2d * -1) = 0 6a + -5d + (-3a + 2d) = 0 Reorder the terms: 6a + -3a + -5d + 2d = 0 Combine like terms: 6a + -3a = 3a 3a + -5d + 2d = 0 Combine like terms: -5d + 2d = -3d 3a + -3d = 0 Solving 3a + -3d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3d' to each side of the equation. 3a + -3d + 3d = 0 + 3d Combine like terms: -3d + 3d = 0 3a + 0 = 0 + 3d 3a = 0 + 3d Remove the zero: 3a = 3d Divide each side by '3'. a = d Simplifying a = d
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