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Simplifying 5(2h + -6) + -7(h + 7) = 4h Reorder the terms: 5(-6 + 2h) + -7(h + 7) = 4h (-6 * 5 + 2h * 5) + -7(h + 7) = 4h (-30 + 10h) + -7(h + 7) = 4h Reorder the terms: -30 + 10h + -7(7 + h) = 4h -30 + 10h + (7 * -7 + h * -7) = 4h -30 + 10h + (-49 + -7h) = 4h Reorder the terms: -30 + -49 + 10h + -7h = 4h Combine like terms: -30 + -49 = -79 -79 + 10h + -7h = 4h Combine like terms: 10h + -7h = 3h -79 + 3h = 4h Solving -79 + 3h = 4h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-4h' to each side of the equation. -79 + 3h + -4h = 4h + -4h Combine like terms: 3h + -4h = -1h -79 + -1h = 4h + -4h Combine like terms: 4h + -4h = 0 -79 + -1h = 0 Add '79' to each side of the equation. -79 + 79 + -1h = 0 + 79 Combine like terms: -79 + 79 = 0 0 + -1h = 0 + 79 -1h = 0 + 79 Combine like terms: 0 + 79 = 79 -1h = 79 Divide each side by '-1'. h = -79 Simplifying h = -79
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