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Simplifying -8n(-4h + 3m + -6h + 4) = 0 Reorder the terms: -8n(4 + -4h + -6h + 3m) = 0 Combine like terms: -4h + -6h = -10h -8n(4 + -10h + 3m) = 0 (4 * -8n + -10h * -8n + 3m * -8n) = 0 Reorder the terms: (80hn + -24mn + -32n) = 0 (80hn + -24mn + -32n) = 0 Solving 80hn + -24mn + -32n = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '24mn' to each side of the equation. 80hn + -24mn + 24mn + -32n = 0 + 24mn Combine like terms: -24mn + 24mn = 0 80hn + 0 + -32n = 0 + 24mn 80hn + -32n = 0 + 24mn Remove the zero: 80hn + -32n = 24mn Add '32n' to each side of the equation. 80hn + -32n + 32n = 24mn + 32n Combine like terms: -32n + 32n = 0 80hn + 0 = 24mn + 32n 80hn = 24mn + 32n Divide each side by '80n'. h = 0.3m + 0.4 Simplifying h = 0.3m + 0.4 Reorder the terms: h = 0.4 + 0.3m
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