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Simplifying 3(h + 6) = 4(h + -4) Reorder the terms: 3(6 + h) = 4(h + -4) (6 * 3 + h * 3) = 4(h + -4) (18 + 3h) = 4(h + -4) Reorder the terms: 18 + 3h = 4(-4 + h) 18 + 3h = (-4 * 4 + h * 4) 18 + 3h = (-16 + 4h) Solving 18 + 3h = -16 + 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. 18 + 3h + -4h = -16 + 4h + -4h Combine like terms: 3h + -4h = -1h 18 + -1h = -16 + 4h + -4h Combine like terms: 4h + -4h = 0 18 + -1h = -16 + 0 18 + -1h = -16 Add '-18' to each side of the equation. 18 + -18 + -1h = -16 + -18 Combine like terms: 18 + -18 = 0 0 + -1h = -16 + -18 -1h = -16 + -18 Combine like terms: -16 + -18 = -34 -1h = -34 Divide each side by '-1'. h = 34 Simplifying h = 34
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