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Simplifying 7 + H(74 + -4) = 478(23 + 96) + -1H Combine like terms: 74 + -4 = 70 7 + H(70) = 478(23 + 96) + -1H Reorder the terms for easier multiplication: 7 + 70H = 478(23 + 96) + -1H Combine like terms: 23 + 96 = 119 7 + 70H = 478(119) + -1H Multiply 478 * 119 7 + 70H = 56882 + -1H Solving 7 + 70H = 56882 + -1H Solving for variable 'H'. Move all terms containing H to the left, all other terms to the right. Add 'H' to each side of the equation. 7 + 70H + H = 56882 + -1H + H Combine like terms: 70H + H = 71H 7 + 71H = 56882 + -1H + H Combine like terms: -1H + H = 0 7 + 71H = 56882 + 0 7 + 71H = 56882 Add '-7' to each side of the equation. 7 + -7 + 71H = 56882 + -7 Combine like terms: 7 + -7 = 0 0 + 71H = 56882 + -7 71H = 56882 + -7 Combine like terms: 56882 + -7 = 56875 71H = 56875 Divide each side by '71'. H = 801.056338 Simplifying H = 801.056338
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