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Simplifying 3(ax + 9) = -4(-2 + -10x) Reorder the terms: 3(9 + ax) = -4(-2 + -10x) (9 * 3 + ax * 3) = -4(-2 + -10x) (27 + 3ax) = -4(-2 + -10x) 27 + 3ax = (-2 * -4 + -10x * -4) 27 + 3ax = (8 + 40x) Solving 27 + 3ax = 8 + 40x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 3ax = 8 + -27 + 40x Combine like terms: 27 + -27 = 0 0 + 3ax = 8 + -27 + 40x 3ax = 8 + -27 + 40x Combine like terms: 8 + -27 = -19 3ax = -19 + 40x Divide each side by '3x'. a = -6.333333333x-1 + 13.33333333 Simplifying a = -6.333333333x-1 + 13.33333333 Reorder the terms: a = 13.33333333 + -6.333333333x-1
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