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Simplifying -4(7h + -1) + 5h = -2(3h + 4) + -3h Reorder the terms: -4(-1 + 7h) + 5h = -2(3h + 4) + -3h (-1 * -4 + 7h * -4) + 5h = -2(3h + 4) + -3h (4 + -28h) + 5h = -2(3h + 4) + -3h Combine like terms: -28h + 5h = -23h 4 + -23h = -2(3h + 4) + -3h Reorder the terms: 4 + -23h = -2(4 + 3h) + -3h 4 + -23h = (4 * -2 + 3h * -2) + -3h 4 + -23h = (-8 + -6h) + -3h Combine like terms: -6h + -3h = -9h 4 + -23h = -8 + -9h Solving 4 + -23h = -8 + -9h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '9h' to each side of the equation. 4 + -23h + 9h = -8 + -9h + 9h Combine like terms: -23h + 9h = -14h 4 + -14h = -8 + -9h + 9h Combine like terms: -9h + 9h = 0 4 + -14h = -8 + 0 4 + -14h = -8 Add '-4' to each side of the equation. 4 + -4 + -14h = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -14h = -8 + -4 -14h = -8 + -4 Combine like terms: -8 + -4 = -12 -14h = -12 Divide each side by '-14'. h = 0.8571428571 Simplifying h = 0.8571428571
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