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Simplifying 8(h + 7) + -1(3h + -1t) + 4t = 0 Reorder the terms: 8(7 + h) + -1(3h + -1t) + 4t = 0 (7 * 8 + h * 8) + -1(3h + -1t) + 4t = 0 (56 + 8h) + -1(3h + -1t) + 4t = 0 56 + 8h + (3h * -1 + -1t * -1) + 4t = 0 56 + 8h + (-3h + 1t) + 4t = 0 Combine like terms: 8h + -3h = 5h 56 + 5h + 1t + 4t = 0 Combine like terms: 1t + 4t = 5t 56 + 5h + 5t = 0 Solving 56 + 5h + 5t = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + 5h + -56 + 5t = 0 + -56 Reorder the terms: 56 + -56 + 5h + 5t = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 5h + 5t = 0 + -56 5h + 5t = 0 + -56 Combine like terms: 0 + -56 = -56 5h + 5t = -56 Add '-5t' to each side of the equation. 5h + 5t + -5t = -56 + -5t Combine like terms: 5t + -5t = 0 5h + 0 = -56 + -5t 5h = -56 + -5t Divide each side by '5'. h = -11.2 + -1t Simplifying h = -11.2 + -1t
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