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Simplifying 2(31h + -17) = 5(13 + 19h) Reorder the terms: 2(-17 + 31h) = 5(13 + 19h) (-17 * 2 + 31h * 2) = 5(13 + 19h) (-34 + 62h) = 5(13 + 19h) -34 + 62h = (13 * 5 + 19h * 5) -34 + 62h = (65 + 95h) Solving -34 + 62h = 65 + 95h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-95h' to each side of the equation. -34 + 62h + -95h = 65 + 95h + -95h Combine like terms: 62h + -95h = -33h -34 + -33h = 65 + 95h + -95h Combine like terms: 95h + -95h = 0 -34 + -33h = 65 + 0 -34 + -33h = 65 Add '34' to each side of the equation. -34 + 34 + -33h = 65 + 34 Combine like terms: -34 + 34 = 0 0 + -33h = 65 + 34 -33h = 65 + 34 Combine like terms: 65 + 34 = 99 -33h = 99 Divide each side by '-33'. h = -3 Simplifying h = -3
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