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Simplifying 3(h + 9) = 21 + (8r + -5) Reorder the terms: 3(9 + h) = 21 + (8r + -5) (9 * 3 + h * 3) = 21 + (8r + -5) (27 + 3h) = 21 + (8r + -5) Reorder the terms: 27 + 3h = 21 + (-5 + 8r) Remove parenthesis around (-5 + 8r) 27 + 3h = 21 + -5 + 8r Combine like terms: 21 + -5 = 16 27 + 3h = 16 + 8r Solving 27 + 3h = 16 + 8r Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 3h = 16 + -27 + 8r Combine like terms: 27 + -27 = 0 0 + 3h = 16 + -27 + 8r 3h = 16 + -27 + 8r Combine like terms: 16 + -27 = -11 3h = -11 + 8r Divide each side by '3'. h = -3.666666667 + 2.666666667r Simplifying h = -3.666666667 + 2.666666667r
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