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Simplifying g(a + h) = 2x2 + -5x + 7 (a * g + h * g) = 2x2 + -5x + 7 (ag + gh) = 2x2 + -5x + 7 Reorder the terms: ag + gh = 7 + -5x + 2x2 Solving ag + gh = 7 + -5x + 2x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1gh' to each side of the equation. ag + gh + -1gh = 7 + -5x + -1gh + 2x2 Combine like terms: gh + -1gh = 0 ag + 0 = 7 + -5x + -1gh + 2x2 ag = 7 + -5x + -1gh + 2x2 Reorder the terms: ag = 7 + -1gh + -5x + 2x2 Divide each side by 'g'. a = 7g-1 + -1h + -5g-1x + 2g-1x2 Simplifying a = 7g-1 + -1h + -5g-1x + 2g-1x2 Reorder the terms: a = 7g-1 + -5g-1x + 2g-1x2 + -1h
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