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Simplifying 8(h + 3) = 7(h + -3) Reorder the terms: 8(3 + h) = 7(h + -3) (3 * 8 + h * 8) = 7(h + -3) (24 + 8h) = 7(h + -3) Reorder the terms: 24 + 8h = 7(-3 + h) 24 + 8h = (-3 * 7 + h * 7) 24 + 8h = (-21 + 7h) Solving 24 + 8h = -21 + 7h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-7h' to each side of the equation. 24 + 8h + -7h = -21 + 7h + -7h Combine like terms: 8h + -7h = 1h 24 + 1h = -21 + 7h + -7h Combine like terms: 7h + -7h = 0 24 + 1h = -21 + 0 24 + 1h = -21 Add '-24' to each side of the equation. 24 + -24 + 1h = -21 + -24 Combine like terms: 24 + -24 = 0 0 + 1h = -21 + -24 1h = -21 + -24 Combine like terms: -21 + -24 = -45 1h = -45 Divide each side by '1'. h = -45 Simplifying h = -45
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