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Simplifying 16h + -32 + -7h = -3(6 + -2h) + 1 Reorder the terms: -32 + 16h + -7h = -3(6 + -2h) + 1 Combine like terms: 16h + -7h = 9h -32 + 9h = -3(6 + -2h) + 1 -32 + 9h = (6 * -3 + -2h * -3) + 1 -32 + 9h = (-18 + 6h) + 1 Reorder the terms: -32 + 9h = -18 + 1 + 6h Combine like terms: -18 + 1 = -17 -32 + 9h = -17 + 6h Solving -32 + 9h = -17 + 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. -32 + 9h + -6h = -17 + 6h + -6h Combine like terms: 9h + -6h = 3h -32 + 3h = -17 + 6h + -6h Combine like terms: 6h + -6h = 0 -32 + 3h = -17 + 0 -32 + 3h = -17 Add '32' to each side of the equation. -32 + 32 + 3h = -17 + 32 Combine like terms: -32 + 32 = 0 0 + 3h = -17 + 32 3h = -17 + 32 Combine like terms: -17 + 32 = 15 3h = 15 Divide each side by '3'. h = 5 Simplifying h = 5
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