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Simplifying G(x + h) = 5x + -9 Reorder the terms: G(h + x) = 5x + -9 (h * G + x * G) = 5x + -9 (hG + xG) = 5x + -9 Reorder the terms: hG + xG = -9 + 5x Solving hG + xG = -9 + 5x Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-1xG' to each side of the equation. hG + xG + -1xG = -9 + 5x + -1xG Combine like terms: xG + -1xG = 0 hG + 0 = -9 + 5x + -1xG hG = -9 + 5x + -1xG Divide each side by 'G'. h = -9G-1 + 5xG-1 + -1x Simplifying h = -9G-1 + 5xG-1 + -1x Reorder the terms: h = -9G-1 + -1x + 5xG-1
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