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Simplifying 6(h + -5) + 11 = 47 Reorder the terms: 6(-5 + h) + 11 = 47 (-5 * 6 + h * 6) + 11 = 47 (-30 + 6h) + 11 = 47 Reorder the terms: -30 + 11 + 6h = 47 Combine like terms: -30 + 11 = -19 -19 + 6h = 47 Solving -19 + 6h = 47 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 6h = 47 + 19 Combine like terms: -19 + 19 = 0 0 + 6h = 47 + 19 6h = 47 + 19 Combine like terms: 47 + 19 = 66 6h = 66 Divide each side by '6'. h = 11 Simplifying h = 11
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