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Simplifying (-5a + -6d) + -1(-8a + -3d) = 0 Remove parenthesis around (-5a + -6d) -5a + -6d + -1(-8a + -3d) = 0 -5a + -6d + (-8a * -1 + -3d * -1) = 0 -5a + -6d + (8a + 3d) = 0 Reorder the terms: -5a + 8a + -6d + 3d = 0 Combine like terms: -5a + 8a = 3a 3a + -6d + 3d = 0 Combine like terms: -6d + 3d = -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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