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Simplifying 7(h + 3) = 4(h + -9) Reorder the terms: 7(3 + h) = 4(h + -9) (3 * 7 + h * 7) = 4(h + -9) (21 + 7h) = 4(h + -9) Reorder the terms: 21 + 7h = 4(-9 + h) 21 + 7h = (-9 * 4 + h * 4) 21 + 7h = (-36 + 4h) Solving 21 + 7h = -36 + 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. 21 + 7h + -4h = -36 + 4h + -4h Combine like terms: 7h + -4h = 3h 21 + 3h = -36 + 4h + -4h Combine like terms: 4h + -4h = 0 21 + 3h = -36 + 0 21 + 3h = -36 Add '-21' to each side of the equation. 21 + -21 + 3h = -36 + -21 Combine like terms: 21 + -21 = 0 0 + 3h = -36 + -21 3h = -36 + -21 Combine like terms: -36 + -21 = -57 3h = -57 Divide each side by '3'. h = -19 Simplifying h = -19
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