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Simplifying 32 + -7h = -6(9h + 5) Reorder the terms: 32 + -7h = -6(5 + 9h) 32 + -7h = (5 * -6 + 9h * -6) 32 + -7h = (-30 + -54h) Solving 32 + -7h = -30 + -54h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '54h' to each side of the equation. 32 + -7h + 54h = -30 + -54h + 54h Combine like terms: -7h + 54h = 47h 32 + 47h = -30 + -54h + 54h Combine like terms: -54h + 54h = 0 32 + 47h = -30 + 0 32 + 47h = -30 Add '-32' to each side of the equation. 32 + -32 + 47h = -30 + -32 Combine like terms: 32 + -32 = 0 0 + 47h = -30 + -32 47h = -30 + -32 Combine like terms: -30 + -32 = -62 47h = -62 Divide each side by '47'. h = -1.319148936 Simplifying h = -1.319148936
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