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Simplifying 6h + -1(5h + 5) = -8 + -2(h + 12) Reorder the terms: 6h + -1(5 + 5h) = -8 + -2(h + 12) 6h + (5 * -1 + 5h * -1) = -8 + -2(h + 12) 6h + (-5 + -5h) = -8 + -2(h + 12) Reorder the terms: -5 + 6h + -5h = -8 + -2(h + 12) Combine like terms: 6h + -5h = 1h -5 + 1h = -8 + -2(h + 12) Reorder the terms: -5 + 1h = -8 + -2(12 + h) -5 + 1h = -8 + (12 * -2 + h * -2) -5 + 1h = -8 + (-24 + -2h) Combine like terms: -8 + -24 = -32 -5 + 1h = -32 + -2h Solving -5 + 1h = -32 + -2h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '2h' to each side of the equation. -5 + 1h + 2h = -32 + -2h + 2h Combine like terms: 1h + 2h = 3h -5 + 3h = -32 + -2h + 2h Combine like terms: -2h + 2h = 0 -5 + 3h = -32 + 0 -5 + 3h = -32 Add '5' to each side of the equation. -5 + 5 + 3h = -32 + 5 Combine like terms: -5 + 5 = 0 0 + 3h = -32 + 5 3h = -32 + 5 Combine like terms: -32 + 5 = -27 3h = -27 Divide each side by '3'. h = -9 Simplifying h = -9
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