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Simplifying h(a + b) = x2 + 4x + -7 (a * h + b * h) = x2 + 4x + -7 (ah + bh) = x2 + 4x + -7 Reorder the terms: ah + bh = -7 + 4x + x2 Solving ah + bh = -7 + 4x + x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1bh' to each side of the equation. ah + bh + -1bh = -7 + 4x + -1bh + x2 Combine like terms: bh + -1bh = 0 ah + 0 = -7 + 4x + -1bh + x2 ah = -7 + 4x + -1bh + x2 Reorder the terms: ah = -7 + -1bh + 4x + x2 Divide each side by 'h'. a = -7h-1 + -1b + 4h-1x + h-1x2 Simplifying a = -7h-1 + -1b + 4h-1x + h-1x2 Reorder the terms: a = -1b + -7h-1 + 4h-1x + h-1x2
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