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Simplifying x(a + -2b) = 8m(x + -1c) (a * x + -2b * x) = 8m(x + -1c) (ax + -2bx) = 8m(x + -1c) Reorder the terms: ax + -2bx = 8m(-1c + x) ax + -2bx = (-1c * 8m + x * 8m) ax + -2bx = (-8cm + 8mx) Solving ax + -2bx = -8cm + 8mx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2bx' to each side of the equation. ax + -2bx + 2bx = -8cm + 2bx + 8mx Combine like terms: -2bx + 2bx = 0 ax + 0 = -8cm + 2bx + 8mx ax = -8cm + 2bx + 8mx Reorder the terms: ax = 2bx + -8cm + 8mx Divide each side by 'x'. a = 2b + -8cmx-1 + 8m Simplifying a = 2b + -8cmx-1 + 8m
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