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Simplifying -1[3h + 5y] + -1[7y + h] = 0 [3h * -1 + 5y * -1] + -1[7y + h] = 0 [-3h + -5y] + -1[7y + h] = 0 Reorder the terms: -3h + -5y + -1[h + 7y] = 0 -3h + -5y + [h * -1 + 7y * -1] = 0 -3h + -5y + [-1h + -7y] = 0 Reorder the terms: -3h + -1h + -5y + -7y = 0 Combine like terms: -3h + -1h = -4h -4h + -5y + -7y = 0 Combine like terms: -5y + -7y = -12y -4h + -12y = 0 Solving -4h + -12y = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '12y' to each side of the equation. -4h + -12y + 12y = 0 + 12y Combine like terms: -12y + 12y = 0 -4h + 0 = 0 + 12y -4h = 0 + 12y Remove the zero: -4h = 12y Divide each side by '-4'. h = -3y Simplifying h = -3y
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