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Simplifying 13 + 5(6h + 19) = 17h + 2h + -13 Reorder the terms: 13 + 5(19 + 6h) = 17h + 2h + -13 13 + (19 * 5 + 6h * 5) = 17h + 2h + -13 13 + (95 + 30h) = 17h + 2h + -13 Combine like terms: 13 + 95 = 108 108 + 30h = 17h + 2h + -13 Reorder the terms: 108 + 30h = -13 + 17h + 2h Combine like terms: 17h + 2h = 19h 108 + 30h = -13 + 19h Solving 108 + 30h = -13 + 19h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-19h' to each side of the equation. 108 + 30h + -19h = -13 + 19h + -19h Combine like terms: 30h + -19h = 11h 108 + 11h = -13 + 19h + -19h Combine like terms: 19h + -19h = 0 108 + 11h = -13 + 0 108 + 11h = -13 Add '-108' to each side of the equation. 108 + -108 + 11h = -13 + -108 Combine like terms: 108 + -108 = 0 0 + 11h = -13 + -108 11h = -13 + -108 Combine like terms: -13 + -108 = -121 11h = -121 Divide each side by '11'. h = -11 Simplifying h = -11
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