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Simplifying -3(h + 5) + 2 = 4(h + 6) + 9 Reorder the terms: -3(5 + h) + 2 = 4(h + 6) + 9 (5 * -3 + h * -3) + 2 = 4(h + 6) + 9 (-15 + -3h) + 2 = 4(h + 6) + 9 Reorder the terms: -15 + 2 + -3h = 4(h + 6) + 9 Combine like terms: -15 + 2 = -13 -13 + -3h = 4(h + 6) + 9 Reorder the terms: -13 + -3h = 4(6 + h) + 9 -13 + -3h = (6 * 4 + h * 4) + 9 -13 + -3h = (24 + 4h) + 9 Reorder the terms: -13 + -3h = 24 + 9 + 4h Combine like terms: 24 + 9 = 33 -13 + -3h = 33 + 4h Solving -13 + -3h = 33 + 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. -13 + -3h + -4h = 33 + 4h + -4h Combine like terms: -3h + -4h = -7h -13 + -7h = 33 + 4h + -4h Combine like terms: 4h + -4h = 0 -13 + -7h = 33 + 0 -13 + -7h = 33 Add '13' to each side of the equation. -13 + 13 + -7h = 33 + 13 Combine like terms: -13 + 13 = 0 0 + -7h = 33 + 13 -7h = 33 + 13 Combine like terms: 33 + 13 = 46 -7h = 46 Divide each side by '-7'. h = -6.571428571 Simplifying h = -6.571428571
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