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Simplifying 3(h + 7) = 12 + 2(4h + -3) Reorder the terms: 3(7 + h) = 12 + 2(4h + -3) (7 * 3 + h * 3) = 12 + 2(4h + -3) (21 + 3h) = 12 + 2(4h + -3) Reorder the terms: 21 + 3h = 12 + 2(-3 + 4h) 21 + 3h = 12 + (-3 * 2 + 4h * 2) 21 + 3h = 12 + (-6 + 8h) Combine like terms: 12 + -6 = 6 21 + 3h = 6 + 8h Solving 21 + 3h = 6 + 8h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-8h' to each side of the equation. 21 + 3h + -8h = 6 + 8h + -8h Combine like terms: 3h + -8h = -5h 21 + -5h = 6 + 8h + -8h Combine like terms: 8h + -8h = 0 21 + -5h = 6 + 0 21 + -5h = 6 Add '-21' to each side of the equation. 21 + -21 + -5h = 6 + -21 Combine like terms: 21 + -21 = 0 0 + -5h = 6 + -21 -5h = 6 + -21 Combine like terms: 6 + -21 = -15 -5h = -15 Divide each side by '-5'. h = 3 Simplifying h = 3
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