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Simplifying 31 = -8 + 6(h + -2) Reorder the terms: 31 = -8 + 6(-2 + h) 31 = -8 + (-2 * 6 + h * 6) 31 = -8 + (-12 + 6h) Combine like terms: -8 + -12 = -20 31 = -20 + 6h Solving 31 = -20 + 6h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-6h' to each side of the equation. 31 + -6h = -20 + 6h + -6h Combine like terms: 6h + -6h = 0 31 + -6h = -20 + 0 31 + -6h = -20 Add '-31' to each side of the equation. 31 + -31 + -6h = -20 + -31 Combine like terms: 31 + -31 = 0 0 + -6h = -20 + -31 -6h = -20 + -31 Combine like terms: -20 + -31 = -51 -6h = -51 Divide each side by '-6'. h = 8.5 Simplifying h = 8.5
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