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Simplifying 7h + -4(h + -3) = 33 + -4h Reorder the terms: 7h + -4(-3 + h) = 33 + -4h 7h + (-3 * -4 + h * -4) = 33 + -4h 7h + (12 + -4h) = 33 + -4h Reorder the terms: 12 + 7h + -4h = 33 + -4h Combine like terms: 7h + -4h = 3h 12 + 3h = 33 + -4h Solving 12 + 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. 12 + 3h + 4h = 33 + -4h + 4h Combine like terms: 3h + 4h = 7h 12 + 7h = 33 + -4h + 4h Combine like terms: -4h + 4h = 0 12 + 7h = 33 + 0 12 + 7h = 33 Add '-12' to each side of the equation. 12 + -12 + 7h = 33 + -12 Combine like terms: 12 + -12 = 0 0 + 7h = 33 + -12 7h = 33 + -12 Combine like terms: 33 + -12 = 21 7h = 21 Divide each side by '7'. h = 3 Simplifying h = 3
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