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Simplifying 4(8h + 19) + 16h = 4(h + -3) Reorder the terms: 4(19 + 8h) + 16h = 4(h + -3) (19 * 4 + 8h * 4) + 16h = 4(h + -3) (76 + 32h) + 16h = 4(h + -3) Combine like terms: 32h + 16h = 48h 76 + 48h = 4(h + -3) Reorder the terms: 76 + 48h = 4(-3 + h) 76 + 48h = (-3 * 4 + h * 4) 76 + 48h = (-12 + 4h) Solving 76 + 48h = -12 + 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. 76 + 48h + -4h = -12 + 4h + -4h Combine like terms: 48h + -4h = 44h 76 + 44h = -12 + 4h + -4h Combine like terms: 4h + -4h = 0 76 + 44h = -12 + 0 76 + 44h = -12 Add '-76' to each side of the equation. 76 + -76 + 44h = -12 + -76 Combine like terms: 76 + -76 = 0 0 + 44h = -12 + -76 44h = -12 + -76 Combine like terms: -12 + -76 = -88 44h = -88 Divide each side by '44'. h = -2 Simplifying h = -2
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