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Simplifying h + -4[h + -3] = h + -6 Reorder the terms: h + -4[-3 + h] = h + -6 h + [-3 * -4 + h * -4] = h + -6 h + [12 + -4h] = h + -6 Reorder the terms: 12 + h + -4h = h + -6 Combine like terms: h + -4h = -3h 12 + -3h = h + -6 Reorder the terms: 12 + -3h = -6 + h Solving 12 + -3h = -6 + h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-1h' to each side of the equation. 12 + -3h + -1h = -6 + h + -1h Combine like terms: -3h + -1h = -4h 12 + -4h = -6 + h + -1h Combine like terms: h + -1h = 0 12 + -4h = -6 + 0 12 + -4h = -6 Add '-12' to each side of the equation. 12 + -12 + -4h = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -4h = -6 + -12 -4h = -6 + -12 Combine like terms: -6 + -12 = -18 -4h = -18 Divide each side by '-4'. h = 4.5 Simplifying h = 4.5
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