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Simplifying 6.5(6h + -2) = 21h + 5 Reorder the terms: 6.5(-2 + 6h) = 21h + 5 (-2 * 6.5 + 6h * 6.5) = 21h + 5 (-13 + 39h) = 21h + 5 Reorder the terms: -13 + 39h = 5 + 21h Solving -13 + 39h = 5 + 21h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-21h' to each side of the equation. -13 + 39h + -21h = 5 + 21h + -21h Combine like terms: 39h + -21h = 18h -13 + 18h = 5 + 21h + -21h Combine like terms: 21h + -21h = 0 -13 + 18h = 5 + 0 -13 + 18h = 5 Add '13' to each side of the equation. -13 + 13 + 18h = 5 + 13 Combine like terms: -13 + 13 = 0 0 + 18h = 5 + 13 18h = 5 + 13 Combine like terms: 5 + 13 = 18 18h = 18 Divide each side by '18'. h = 1 Simplifying h = 1
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