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Simplifying x(a + -8b) = 6m(x + -1c) (a * x + -8b * x) = 6m(x + -1c) (ax + -8bx) = 6m(x + -1c) Reorder the terms: ax + -8bx = 6m(-1c + x) ax + -8bx = (-1c * 6m + x * 6m) ax + -8bx = (-6cm + 6mx) Solving ax + -8bx = -6cm + 6mx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8bx' to each side of the equation. ax + -8bx + 8bx = -6cm + 8bx + 6mx Combine like terms: -8bx + 8bx = 0 ax + 0 = -6cm + 8bx + 6mx ax = -6cm + 8bx + 6mx Reorder the terms: ax = 8bx + -6cm + 6mx Divide each side by 'x'. a = 8b + -6cmx-1 + 6m Simplifying a = 8b + -6cmx-1 + 6m
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